P. J. Hilton

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All published works

Action	Title	Year	Authors
+	New Directions in Applied Mathematics: "Papers Presented April 25/26, 1980, On The Occasion Of The Case Centennial Celebration"	2011	P. J. Hilton Gail S. Young
+	A mathematical tapestry: demonstrating the beautiful unity of mathematics	2011	P. J. Hilton Jean Pedersen Sylvie Donmoyer
+	Mathematical Vistas: From a Room with Many Windows	2002	P. J. Hilton Derek Holton Jean Pedersen
+ PDF Chat	Morphisms of Mislin genera induced by finite normal subgroups	2002	P. J. Hilton Peter J. Witbooi
+	Cohomology of Groups	1997	P. J. Hilton Urs Stammbach
+	The Künneth Formula	1997	P. J. Hilton Urs Stammbach
+	Extensions of Modules	1997	P. J. Hilton Urs Stammbach
+	Satellites and Homology	1997	P. J. Hilton Urs Stammbach
+ PDF Chat	A Course in Homological Algebra	1997	P. J. Hilton Urs Stammbach
+	Some Applications and Recent Developments	1997	P. J. Hilton Urs Stammbach
+ PDF Chat	Calculating the genus of a direct product of certain nilpotent groups	1995	P. J. Hilton Dirk Scevenels
+	On a family of Serre classes of nilpotent groups	1993	P. J. Hilton
+ PDF Chat	Induction and restriction as adjoint functors on representations of locally compact groups	1993	Robert A. Bekes P. J. Hilton
+ PDF Chat	Some remarks on almost finitely generated nilpotent groups	1992	P. J. Hilton Robert R. Militello
+	Calculating the genus of certain nilpotent groups	1992	Christopher Schuck P. J. Hilton
+ PDF Chat	On the basic character of residue classes	1989	P. J. Hilton Jeffrey J. Hooper J. Pedersen
+	Extending the binomial coefficients to preserve symmetry and pattern	1989	P. J. Hilton J. Pedersen
+	Duality and the descartes deficiency	1989	P. J. Hilton J. Pedersen
+ PDF Chat	The two-square lemma	1989	Temple H. Fay K. A. Hardie P. J. Hilton
+	DUALITY AND THE DESCARTES DEFICIENCY	1989	P. J. Hilton J. Pedersen
+	EXTENDING THE BINOMIAL COEFFICIENTS TO PRESERVE SYMMETRY AND PATTERN	1989	P. J. Hilton J. Pedersen
+	Transgression homotopique et cohomologique	1987	P. J. Hilton
+	Décomposition homologique d’un polyèdre simplement connexe	1987	P. J. Hilton
+	Unions and intersections in homotopy theory	1987	Beno Eckmann P. J. Hilton
+	Composition functors and spectral sequences	1987	P. J. Hilton
+	Generalized means	1987	T. Ganea P. J. Hilton
+	Group-like structures in general categories I. Multiplications and comultiplications	1987	P. J. Hilton
+	Structure maps in group theory	1987	P. J. Hilton
+	On the homology theory of central group extensions: I — The commutator map and stem extensions	1987	Beno Eckmann P. J. Hilton Urs Stammbach
+	On the Schur multiplicator of a central quotient of a direct product of groups	1987	P. J. Hilton Urs Stammbach
+	Commuting limits with colimits	1987	P. J. Hilton
+	On central group extensions and homology	1987	P. J. Hilton
+ PDF Chat	On certain algorithms in the practice of geometry and the theory of numbers	1985	P. J. Hilton J. Pedersen
+	Conference on Algebraic Topology in Honor of Peter Hilton	1985	Renzo Piccinini Denis Sjerve
+	Lectures in Geometry: Analytic Geometry	1984	P. J. Hilton M. M. Postnikov Vyacheslav Vladimirovich Shokurov
+	Nilpotente Gruppen und nilpotente Räume	1984	P. J. Hilton Markus Pfenniger
+	Nilpotente Gruppen und nilpotente Räume : Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82	1984	P. J. Hilton
+	Fear no more : an adult approach to mathematics	1983	P. J. Hilton Jean Pedersen
+ PDF Chat	Nilpotency in group theory and topology	1982	P. J. Hilton
+	A Brief Course of Higher Mathematics.	1982	P. J. Hilton V. A. Kudryavtsev B. P. Demidovich
+	MATHEMATICS: THE LOSS OF CERTAINTY	1982	P. J. Hilton
+	The Emphasis on Applied Mathematics Today and Its Implications for the Mathematics Curriculum	1982	P. J. Hilton
+ PDF Chat	L'isolateur D'Un Homomorphisme de Groupes	1979	Charles Cassidy P. J. Hilton
+ PDF Chat	Book Review: Obstruction theory on homotopy classification of maps	1979	P. J. Hilton
+	A Comprehensive Textbook of Classical Mathematics: A Contemporary Interpretation	1978	Hubert Brian Griffiths P. J. Hilton
+	Das Zahlensystem, Topologie und Analysis, Logik und Kategorien	1978	Hubert Brian Griffiths P. J. Hilton
+	Geometrie und Algebra	1976	Hubert Brian Griffiths P. J. Hilton
+	A Course in Modern Algebra	1974	Yel-Chiang Wu P. J. Hilton
+	Localization in group theory and homotopy theory, and related topics	1974	P. J. Hilton
+	On the schur multiplicator of a central quotient of a direct product of groups	1973	Beno Eckmann P. J. Hilton Urs Stammbach
+	On the homology theory of central group extensions: I—The commutator map and stem extensions	1972	Beno Eckmann P. J. Hilton Urs Stammbach
+	On central group extensions and homology	1971	Beno Eckmann P. J. Hilton
+	On filtered systems of groups, colimits, and kan extensions	1971	P. J. Hilton
+	The Forum: Should Mathematical Logic Be: Pro Taught Formally in Mathematics Classes? Con	1971	Robert Exner P. J. Hilton
+	The Generalized Atiyah-Hirzebruch Spectral Sequence	1971	P. J. Hilton
+	General Cohomology Theories	1971	P. J. Hilton
+	Appendix: On the Construction of Cohomology Theories	1971	P. J. Hilton
+	K-Theory, the Chern Character and the Hopf Invariant Problem	1971	P. J. Hilton
+	General Cohomology Theory and K-Theory	1971	P. J. Hilton
+	Should Mathematical Logic Be Taught Formally in Mathematics Classes? Con.	1971	P. J. Hilton
+ PDF Chat	Symposium on Algebraic Topology	1971	P. J. Hilton
+	On the classification problem forH-spaces of rank two	1970	P. J. Hilton Joseph Roitberg
+	Applications of the Theory of HCF’s	1970	H. B. Griffiths P. J. Hilton
+	Counting, and Transfinite Arithmetic	1970	H. B. Griffiths P. J. Hilton
+	Rings with Integral Norm	1970	H. B. Griffiths P. J. Hilton
+	Factorization Into Primes	1970	H. B. Griffiths P. J. Hilton
+	Vector Spaces and Linear Equations	1970	H. B. Griffiths P. J. Hilton
+	Vector Geometry of ℝ3	1970	H. B. Griffiths P. J. Hilton
+	The Logarithm and the Exponential Function	1970	H. B. Griffiths P. J. Hilton
+	The Logic of Geometry	1970	H. B. Griffiths P. J. Hilton
+	Vector-Valued Functions	1970	H. B. Griffiths P. J. Hilton
+	C r -Functions	1970	H. B. Griffiths P. J. Hilton
+	The Real and Complex Numbers	1970	H. B. Griffiths P. J. Hilton
+	Complex-Valued Functions	1970	H. B. Griffiths P. J. Hilton
+	Topology of ℝn	1970	H. B. Griffiths P. J. Hilton
+	The Algebra ℝI	1970	H. B. Griffiths P. J. Hilton
+	Polynomials and Equations of Degree n	1970	H. B. Griffiths P. J. Hilton
+	Commutative Rings and Fields	1970	H. B. Griffiths P. J. Hilton
+	Arithmetic Mod m	1970	H. B. Griffiths P. J. Hilton
+	<i>SECTION OF MATHEMATICS</i>: ALGEBRAIC AND COMBINATORIAL ASPECTS OF COHERENT STRUCTURES*	1969	Herman Hanisch P. J. Hilton Warren M. Hirsch
+	On fibred categories and cohomology	1969	P. J. Hilton B. Steer
+	Commuting limits with colimits	1969	Beno Eckmann P. J. Hilton
+ PDF Chat	Category Theory, Homology Theory and their Applications II	1969	Barry Mitchell Jan-Erik Roos Friedrich Ulmer Hans-Berndt Brinkmann Stephen U. Chase Paul Dedecker R. R. Douglas P. J. Hilton François Sigrist Charles Ehresmann
+	H-spaces	1969	R. R. Douglas P. J. Hilton Frano̧is Sigrist
+	Suites spectrales et theories de cohomologie generales	1969	P. J. Hilton
+ PDF Chat	Some Remarks on General Cohomology Theories.	1968	Aristide Deleanu P. J. Hilton
+	Introduction to the theory of categories and functors	1968	Ion Bucur Aristide Deleanu P. J. Hilton
+	Filtrations, associated graded objects and completions	1967	Beno Eckmann P. J. Hilton
+ PDF Chat	A generalization of certain homological functors	1966	P. J. Hilton Irwin S. Pressman
+	Composition functors and spectral sequences	1966	Beno Eckmann P. J. Hilton
+ PDF Chat	Remark on loop spaces	1964	P. J. Hilton
+	Unions and intersections in homotopy theory	1963	Beno Eckmann P. J. Hilton
+	Unique divisibility in Abelian groups	1963	P. J. Hilton Syed Mohd Yahya
+	Group-like structures in general categories II equalizers, limits, lengths	1963	Beno Eckmann P. J. Hilton
+	Group-like structures in general categories III primitive categories	1963	Beno Eckmann P. J. Hilton
+	A natural transformation in homotopy theory and a theorem of G. W. Whitehead	1963	Beno Eckmann P. J. Hilton
+	On suspensions and comultiplications	1963	Israel Berstein P. J. Hilton
+	Homomorphisms of homotopy structures	1963	Israel Berstein P. J. Hilton
+	Éléments de mathématique. Livre III. Topologie Générale. 3rd edition. By N. Bourbaki. Pp. 236. 1960. (Hermann, Paris)	1962	P. J. Hilton
+	Topologische lineare Räume I. By G. Köthe. Pp. 456. 1960 (Springer, Berlin)	1962	P. J. Hilton
+	Group-like structures in general categories I multiplications and comultiplications	1962	Beno Eckmann P. J. Hilton
+	Homology Theory, An Introduction to Algebraic Topology.	1962	Lida K. Barrett P. J. Hilton S. Wylie
+	On the homotopy-commutativity of loop-spaces and suspensions	1962	Tudor Ganea P. J. Hilton Franklin P. Peterson
+	NOTE ON THE WHITEHEAD PRODUCT	1962	P. J. Hilton
+	Natural maps of extension functors and a theorem of R. G. Swan	1961	P. J. Hilton D. Andrew S. Rees
+	Homotopy Theory. By S.-T. Hu. Pp. 347. $11.00. 1959. (Academic Press, New York)	1961	P. J. Hilton
+	Note on the Jacobi identity for Whitehead products	1961	P. J. Hilton
+	Homotopy groups of maps and exact sequences	1960	Beno Eckmann P. J. Hilton
+ PDF Chat	Category and generalized Hopf invariants	1960	Israel Berstein P. J. Hilton
+	Operators and cooperators in homotopy theory	1960	Beno Eckmann P. J. Hilton
+ PDF Chat	Singular Homology Theory	1960	P. J. Hilton S. Wylie
+	Spectral Homology Theory and Homology Theory of Groups	1960	P. J. Hilton S. Wylie
+	On a Generalization of Nilpotency to Semi-Simplicial Complexes	1960	P. J. Hilton
+ PDF Chat	On the imbeddability of certain complexes in euclidean spaces	1960	P. J. Hilton Edwin H. Spanier
+	Homology Theory: An Introduction to Algebraic Topology	1960	P. J. Hilton S. Wylie
+	On the Jordan-Hölder Theorem in Homological Monoids	1960	P. J. Hilton Walter Ledermann
+	Homology and Ringoids. III	1960	P. J. Hilton Walter Ledermann
+	Abelian Groups and Homological Algebra	1960	P. J. Hilton S. Wylie
+	The Singular Contrahomology Ring	1960	P. J. Hilton S. Wylie
+ PDF Chat	The Fundamental Group and Covering Spaces	1960	P. J. Hilton S. Wylie
+	Homology Theory of a Simplicial Complex	1960	P. J. Hilton S. Wylie
+	Homology Theory	1960	P. J. Hilton S. Wylie
+	On the decomposition of spaces in Cartesian products and unions	1959	Tudor Ganea P. J. Hilton
+	Homology and ringoids. II	1959	P. J. Hilton Walter Ledermann
+	Homology and ringoids. I	1958	P. J. Hilton Walter Ledermann
+	Maxima and Minima and Taylor’s Theorem	1958	P. J. Hilton
+	On the chain algebra of a loop space	1956	J. F. Adams P. J. Hilton
+	Note on the higher Hopf invariants	1956	P. J. Hilton
+	On the homotopy groups of unions of spaces	1955	P. J. Hilton
+	Topologie. II. By Casimir Kuratowski. 2nd edition. Pp. viii, 443. $6. 1952. Monografje Matematyczne, 21 (Polska Akademia, Warsaw)	1955	P. J. Hilton
+	On the Homotopy Groups of the Union of Spheres	1955	P. J. Hilton
+	A note on the <i>P</i>-homomorphism in homotopy groups of spheres	1955	P. J. Hilton
+	Topologie. I. By C. Kuratowski. 3rd edition. Pp. xi, 450. $7.50. 1952. Monografje Matematyczne, 20. (Warsaw)	1954	P. J. Hilton
+	A certain triple Whitehead product	1954	P. J. Hilton
+	On the Hope Invariant of a Composition Element	1954	P. J. Hilton
+	General Topology. By W. Sierpinski. Translated by C. C. Krieger. Pp. xii, 290. 48s. 1952. Mathematical expositions, 7. (University of Toronto Press ; Geoffrey Cumberlege, London)	1954	P. J. Hilton
+	Foundations of Combinatorial Topology. By L.S. Pontryagin. p. xi, 99. N.p. 1952. (Graylock Press, Rochester, N.Y.)	1953	P. J. Hilton
+	An Introduction to Homotopy Theory	1953	P. J. Hilton
+	On Join Operations in Homotopy Groups	1953	M. G. Barratt P. J. Hilton
+	THE CLASSICAL THEOREMS OF HOMOTOPY THEORY	1953	P. J. Hilton
+	HOMOTOPY GROUPS OF COMPLEXES	1953	P. J. Hilton
+	The Hopf invariant and homotopy groups of spheres	1952	P. J. Hilton
+	Problémes concrets d’analyse fonctionnelle. By P. Lévy. Pp. xiv, 484. 4000 fr. 1951. (Gauthier-Villars)	1952	P. J. Hilton
+	Suspension Theorems and the Generalized Hopf Invariant	1951	P. J. Hilton

Common Coauthors

Coauthor	Papers Together
H. B. Griffiths	17
Beno Eckmann	15
Urs Stammbach	10
S. Wylie	8
J. Pedersen	6
Walter Ledermann	4
Hubert Brian Griffiths	3
Jean Pedersen	3
Israel Berstein	3
R. R. Douglas	2
Aristide Deleanu	2
Tudor Ganea	2
F. William Lawvere	1
V. A. Kudryavtsev	1
Vyacheslav Vladimirovich Shokurov	1
Jan-Erik Roos	1
T. Ganea	1
D. Andrew S. Rees	1
Derek Holton	1
Renzo A. Piccinini	1
Robert A. Bekes	1
Ion Bucur	1
Irwin S. Pressman	1
Markus Pfenniger	1
M. G. Barratt	1
Joseph Roitberg	1
Peter J. Witbooi	1
Charles Cassidy	1
François Sigrist	1
J. F. Adams	1
Paul Dedecker	1
S. Wylie	1
Hans-Berndt Brinkmann	1
Stephen U. Chase	1
Syed Mohd Yahya	1
Denis Sjerve	1
Jeffrey J. Hooper	1
Robert Exner	1
B. P. Demidovich	1
Yel-Chiang Wu	1
M. M. Postnikov	1
Sylvie Donmoyer	1
M. A. Knus	1
Robert R. Militello	1
Edwin H. Spanier	1
Saunders Mac Lane	1
Temple H. Fay	1
Franklin P. Peterson	1
B. Steer	1
Gail S. Young	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Suspension Theorems and the Generalized Hopf Invariant	1951	P. J. Hilton	7
+	Group-like structures in general categories I multiplications and comultiplications	1962	Beno Eckmann P. J. Hilton	6
+	Operators and cooperators in homotopy theory	1960	Beno Eckmann P. J. Hilton	5
+ PDF Chat	Category and generalized Hopf invariants	1960	Israel Berstein P. J. Hilton	5
+ PDF Chat	Structure maps in group theory	1961	B. Eckman Peter Hilton	5
+ PDF Chat	A Generalization of the Hopf Invariant	1950	George W. Whitehead	5
+	Homotopiemengen und ihre induzierten Abbildungen. I	1958	Dieter Puppe	5
+	Multiplicateurs de Schur et K-théorie	1970	Michel Kervaire	4
+	Über die Darstellung der endlichen Gruppen durch gebrochen lineare Substitutionen.	1904	J. Schur	4
+	On Join Operations in Homotopy Groups	1953	M. G. Barratt P. J. Hilton	4
+	The First Non-Vanishing Group of an (<i>n</i> +l)-AD	1956	M. G. Barratt J. H. C. Whitehead	4
+	Homology and central series of groups	1965	John R. Stallings	4
+	Homotopy groups of maps and exact sequences	1960	Beno Eckmann P. J. Hilton	4
+ PDF Chat	Adjoint functors	1958	Daniel M. Kan	4
+	Homologie Singuliere Des Espaces Fibres	1951	Jean-Pierre Serre	4
+ PDF Chat	Exact categories and duality	1955	David A. Buchsbaum	4
+	The Homotopy Groups of a Triad I	1951	A. L. Blakers William S. Massey	3
+	On Adding Relations to Homotopy Groups	1941	J. H. C. Whitehead	3
+ PDF Chat	Localization and cohomology of nilpotent groups	1973	Peter Hilton	3
+	On the Freudenthal theorems	2010	George W. Whitehead J. F. Adams	3
+	On the homotopy-commutativity of loop-spaces and suspensions	1962	Tudor Ganea P. J. Hilton Franklin P. Peterson	3
+	K2 and symbols	1969	Hyman Bass	3
+	Groupes D'Homotopie Et Classes De Groupes Abeliens	1953	Jean-Pierre Serre	3
+ PDF Chat	Groupes d'homotopie et dualité	1958	Beno Eckmann	3
+	Foundations of Algebraic Topology	1952	Samuel Eilenberg Norman Steenrod	3
+	On Homotopy Theory and C.S.S. Groups	1958	Daniel M. Kan	3
+ PDF Chat	On the homotopy-commutativity of groups and loop spaces	1960	Masahiro SUGAWARA	3
+	A Certain Exact Sequence	1950	J. H. C. Whitehead	3
+	On the Freudenthal Theorems	1953	George W. Whitehead	3
+	Group-like structures in general categories II equalizers, limits, lengths	1963	Beno Eckmann P. J. Hilton	3
+ PDF Chat	Book Review: Homological algebra	1956	Saunders MacLane	2
+	Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen.	1907	J. Schur	2
+	On the Homology Suspension	1955	George W. Whitehead	2
+	The (n + 2) nd Homotopy Group of the n-Sphere	1950	George W. Whitehead	2
+	On the Groups H(Π, n), II: Methods of Computation	1954	Samuel Eilenberg Saunders MacLane	2
+ PDF Chat	Categories for the Working Mathematician	1971	Saunders Mac Lane	2
+	Fibred and Cofibred Categories	1966	John W. Gray	2
+	Calculating the mislin genus for a certain family of nilpotent groups	1991	Carles Casacuberta Peter Hilton	2
+	On the homology theory of central group extensions: I—The commutator map and stem extensions	1972	Beno Eckmann P. J. Hilton Urs Stammbach	2
+	Calculus of Fractions and Homotopy Theory	1967	Peter Gabriel Michel Zisman	2
+ PDF Chat	A study of function spaces by spectral sequences	1956	Herbert Fédérer	2
+	SOME SUSPENSION THEOREMS	1950	Shiao‐Chi Chang	2
+	The Hopf invariant and homotopy groups of spheres	1952	P. J. Hilton	2
+ PDF Chat	A generalization of certain homological functors	1966	P. J. Hilton Irwin S. Pressman	2
+ PDF Chat	Combinatorial homotopy. I	1949	J. H. C. Whitehead	2
+	On the structure and applications of the steenrod algebra	1958	J. F. Adams	2
+	H-spaces with few cells	1962	J. F. Adams	2
+	On mappings into group-like spaces	1954	George W. Whitehead	2
+	On central group extensions and homology	1971	Beno Eckmann P. J. Hilton	2
+	On the homotopy-commutativity of suspensions	1962	Israel Berstein Tudor Ganea	2