Stephen H. Schanuel

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All published works

Action	Title	Year	Authors
+	Isomorphisms	2009	F. William Lawvere Stephen H. Schanuel
+	Organisation of the book	2009	F. William Lawvere Stephen H. Schanuel
+	The contravariant parts functor	2009	F. William Lawvere Stephen H. Schanuel
+	Division of maps: Sections and retractions	2009	F. William Lawvere Stephen H. Schanuel
+	The algebra of composition	2009	F. William Lawvere Stephen H. Schanuel
+	Quiz	2009	F. William Lawvere Stephen H. Schanuel
+	Adjoint functors with examples from graphs and dynamical systems	2009	F. William Lawvere Stephen H. Schanuel
+	Two general aspects or uses of maps	2009	F. William Lawvere Stephen H. Schanuel
+	Test 3	2009	F. William Lawvere Stephen H. Schanuel
+	Products in categories	2009	F. William Lawvere Stephen H. Schanuel
+	Isomorphisms and coordinates	2009	F. William Lawvere Stephen H. Schanuel
+	Categories of diagrams	2009	F. William Lawvere Stephen H. Schanuel
+	Parts of an object: Toposes	2009	F. William Lawvere Stephen H. Schanuel
+	Monoids	2009	F. William Lawvere Stephen H. Schanuel
+	APPENDICES	2009	F. William Lawvere Stephen H. Schanuel
+	The category of pointed sets	2009	F. William Lawvere Stephen H. Schanuel
+	Labelings and products of graphs	2009	F. William Lawvere Stephen H. Schanuel
+	Preface	2009	F. William Lawvere Stephen H. Schanuel
+	Geometery of figures and algebra of functions	2009	F. William Lawvere Stephen H. Schanuel
+	Terminal objects	2009	F. William Lawvere Stephen H. Schanuel
+	Ascending to categories of richer structures	2009	F. William Lawvere Stephen H. Schanuel
+	Higher universal mapping properties	2009	F. William Lawvere Stephen H. Schanuel
+	Uniqueness of products and definition of sum	2009	F. William Lawvere Stephen H. Schanuel
+	The category of sets	2009	F. William Lawvere Stephen H. Schanuel
+	Maps preserve positive properties	2009	F. William Lawvere Stephen H. Schanuel
+	Categories of structured sets	2009	F. William Lawvere Stephen H. Schanuel
+	Map objects	2009	F. William Lawvere Stephen H. Schanuel
+	Sets, maps, composition	2009	F. William Lawvere Stephen H. Schanuel
+	Composing maps and counting maps	2009	F. William Lawvere Stephen H. Schanuel
+	The emergence of category theory within mathematics	2009	F. William Lawvere Stephen H. Schanuel
+	Exponentiation	2009	F. William Lawvere Stephen H. Schanuel
+	Pictures of a map making its features evident	2009	F. William Lawvere Stephen H. Schanuel
+	The Connected Components Functor	2009	F. William Lawvere Stephen H. Schanuel
+	Review of Test 2	2009	F. William Lawvere Stephen H. Schanuel
+	Sets, maps, and composition	2009	F. William Lawvere Stephen H. Schanuel
+	Idempotents, involutions, and graphs	2009	F. William Lawvere Stephen H. Schanuel
+	Summary: On the equation <i>p</i> ∘ <i>j</i> = <i>1<sub>A</sub></i>	2009	F. William Lawvere Stephen H. Schanuel
+	Map object versus product	2009	F. William Lawvere Stephen H. Schanuel
+	Subobject, logic, and truth	2009	F. William Lawvere Stephen H. Schanuel
+	Galileo and multiplication of objects	2009	F. William Lawvere Stephen H. Schanuel
+	Summary/quiz on pairs of ‘opposed’ maps	2009	F. William Lawvere Stephen H. Schanuel
+	Some uses of graphs	2009	F. William Lawvere Stephen H. Schanuel
+	Composition of opposed maps	2009	F. William Lawvere Stephen H. Schanuel
+	Brouwer's theorems	2009	F. William Lawvere Stephen H. Schanuel
+	Retracts and idempotents	2009	F. William Lawvere Stephen H. Schanuel
+	Elementary universal mapping properties	2009	F. William Lawvere Stephen H. Schanuel
+	How to solve the quiz problems	2009	F. William Lawvere Stephen H. Schanuel
+	Examples of categories	2009	F. William Lawvere Stephen H. Schanuel
+	Distributive categories and linear categories	2009	F. William Lawvere Stephen H. Schanuel
+	More on universal mapping properties	2009	F. William Lawvere Stephen H. Schanuel
+	Universal mapping properties and incidence relations	2009	F. William Lawvere Stephen H. Schanuel
+	Objectification of properties in dynamical systems	2009	F. William Lawvere Stephen H. Schanuel
+	Points of an object	2009	F. William Lawvere Stephen H. Schanuel
+	Division of maps: Isomorphisms	2009	F. William Lawvere Stephen H. Schanuel
+	Binary operations and diagonal arguments	2009	F. William Lawvere Stephen H. Schanuel
+	Group theory and the number of types of connected objects	2009	F. William Lawvere Stephen H. Schanuel
+	Examples of universal constructions	2009	F. William Lawvere Stephen H. Schanuel
+	Test 4	2009	F. William Lawvere Stephen H. Schanuel
+	Test 1	2009	F. William Lawvere Stephen H. Schanuel
+	Test 2	2009	F. William Lawvere Stephen H. Schanuel
+	Test 5	2009	F. William Lawvere Stephen H. Schanuel
+	Conceptual Mathematics	2009	F. William Lawvere Stephen H. Schanuel
+	Review of ‘I-words’	2009	F. William Lawvere Stephen H. Schanuel
+	Annotated Bibliography	2009	F. William Lawvere Stephen H. Schanuel
+	Universal mapping properties	2009	F. William Lawvere Stephen H. Schanuel
+	Constants, codiscrete objects, and many connected objects	2009	F. William Lawvere Stephen H. Schanuel
+ PDF Chat	Detection of essential surfaces in 3-manifolds with $SL_2$-trees	2001	Stephen H. Schanuel X. Zhang
+	Objective number theory and the retract chain condition	2000	Stephen H. Schanuel
+	Fixed Points of Iterated Cyclic Difference Operators: 10676	2000	John Isbell Stephen H. Schanuel Stephen M. Gagola Mowaffaq Hajja
+	Conceptual mathematics: a first introduction to categories	1998	F. William Lawvere Stephen H. Schanuel
+	Weak Powers and Small-Valued Functors	1982	John Isbell Stephen H. Schanuel
+	Naturality of the Functional Calculus	1982	Stephen H. Schanuel William R. Zame
+ PDF Chat	Heights in number fields	1979	Stephen H. Schanuel
+ PDF Chat	Affine Parts of Algebraic Theories II	1978	John Isbell Miroslav I. Klun Stephen H. Schanuel
+ PDF Chat	A combinatorial problem of Shields and Pearcy	1977	Stephen H. Schanuel
+	Schützenberger groups and Chebyshev polynomials	1976	Κ. D. Magill Stephen H. Schanuel
+	On the Fractional Parts of n/j,j = o(n)	1976	John Isbell Stephen H. Schanuel
+ PDF Chat	On the fractional parts of $n/j,$ $j=o(n)$	1976	John Isbell Stephen H. Schanuel
+	An extension of Chevalley's theorem to congruences modulo prime powers	1974	Stephen H. Schanuel
+ PDF Chat	On heights in number fields	1964	Stephen H. Schanuel
+ PDF Chat	The homotopy theory of projective modules	1962	Hyman Bass Stephen H. Schanuel

Common Coauthors

Coauthor	Papers Together
F. William Lawvere	65
John Isbell	5
F. William Lawvere	2
Κ. D. Magill	1
Hyman Bass	1
Stephen M. Gagola	1
William R. Zame	1
Mowaffaq Hajja	1
Miroslav I. Klun	1
X. Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Topology of Fibre Bundles.	1951	Norman Steenrod	1
+	Weylsche Exponentialsummen in der neueren Zahlentheorie	1963	Arnold Walfisz	1
+	Vector bundles and homogeneous spaces	2010	M. F. Atiyah F. Hirzebruch J. F. Adams	1
+	Lehrbuch der Algebra	1921	Heinrich Weber	1
+ PDF Chat	Groups of integral representation type	1980	Hyman Bass	1
+ PDF Chat	On the boundary curves of incompressible surfaces	1982	Allen Hatcher	1
+	Haken manifolds and representations of their fundamental groups in SL(2, C)	1988	Kimihiko Motegi	1
+	Vorlesungen uber die Theorie der Algebraischen Zahlen.	1924	L. E. Dickson E. Hecke	1
+	A survey of semigroups of continuous selfmaps	1975	Κ. D. Magill	1
+	Sums of sets in the elementary abelian group of type (p, p)	1967	Henry B. Mann John E. Olson	1
+	REMARKS ON THE A-POLYNOMIAL OF A KNOT	1996	D. Cooper D. D. Long	1
+	History of the Theory of Numbers	1919	L. E. Dickson	1
+	Faisceaux Algebriques Coherents	1955	Jean-Pierre Serre	1
+ PDF Chat	Three dimensional manifolds, Kleinian groups and hyperbolic geometry	1982	William P. Thurston	1
+ PDF Chat	The Brauer group of a commutative ring	1960	Maurice Auslander Oscar Goldman	1
+	Varieties of Group Representations and Splittings of 3-Manifolds	1983	Marc Culler Peter B. Shalen	1
+ PDF Chat	Plane curves associated to character varieties of 3-manifolds	1994	D. Cooper Marc Culler Henri Gillet D. D. Long Peter B. Shalen	1
+	The Chebyshev polynomials	1974	T. J. Rivlin	1
+	Incompressible planar surfaces in 3-manifolds	1984	C. McA. Gordon R. A. Litherland	1
+	Lectures in Abstract Algebra	1964	Nathan Jacobson	1
+ PDF Chat	Modules over Dedekind rings and valuation rings	1952	Irving Kaplansky	1
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	1
+	Bounded, separating, incompressible surfaces in knot manifolds	1984	Marc Culler Peter B. Shalen	1
+ PDF Chat	On Culler-Shalen Seminorms and Dehn Filling	1998	Steven Boyer X. Zhang	1
+ PDF Chat	Modules projectifs et espaces fibrés à fibre vectorielle	2003	Jean-Pierre Serre	1
+ PDF Chat	Les déterminants sur un corps non commutatif	1943	Jean Dieudonné	1
+	Projective Modules Over Algebras	1961	Hyman Bass	1
+	Valuations, Trees, and Degenerations of Hyperbolic Structures, I	1984	John W. Morgan Peter B. Shalen	1
+	Infinite Symmetric Products, Function Spaces, and Duality	1959	Edwin H. Spanier	1
+	Schützenberger groups of some irregular ℋ-classes	1975	Κ. D. Magill S. Subbiah	1
+	Dehn Surgery on Knots	1987	Marc Culler C. McA. Gordon John Luecke Peter B. Shalen	1
+	Simple Homotopy Types	1950	J. H. C. Whitehead	1
+	The Topology of Fibre Bundles. (PMS-14)	1951	Norman Steenrod	1
+	Representations of 3-Manifold Groups	2001	P SHALENXF	1
+ PDF Chat	Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale	1918	Wilh Groß	1
+	History of the theory of numbers	1919	L. E. Dickson	1
+	The Chebyshev Polynomials	1976	J. R. T. J. Rivlin	1
+	Vector bundles and homogeneous spaces	1961	Michael Atiyah Friedrich Hirzebruch	1
+ PDF Chat	The Brauer Group of a Commutative Ring	1960	Maurice Auslander Oscar Goldman	1
+	On a theorem in additive number theory	1979	A. F. Lavrik	1
+ PDF Chat	Modules Over Dedekind Rings and Valuation Rings	1952	Irving Kaplansky	1
+	Vorlesungen über die Theorie der algebraischen Zahlen	1926	Tonio Rella	1