John Oprea

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All published works

Action	Title	Year	Authors
+	Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions	2024	Arturo Espinosa Baro Michael Färber Stephan Mescher John Oprea
+ PDF Chat	Sequential parametrized topological complexity and related invariants	2024	Michael Färber John Oprea
+	m-homotopic distance	2023	E. Macías–Virgós D. Mosquera-Lois John Oprea
+ PDF Chat	The digital Hopf construction	2023	Greg Lupton John Oprea Nicholas A. Scoville
+	Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions	2023	Arturo Espinosa Baro Michael Färber Stephan Mescher John Oprea
+ PDF Chat	Subdivision of Maps of Digital Images	2022	Gregory Lupton John Oprea Nicholas A. Scoville
+	Sequential parametrized topological complexity and related invariants	2022	Michael Färber John Oprea
+ PDF Chat	Homotopy Theory in Digital Topology	2021	Gregory Lupton John Oprea Nicholas A. Scoville
+ PDF Chat	Homotopy invariants and almost non-negative curvature	2021	Giovanni Bazzoni Gregory Lupton John Oprea
+	Right-angled Artin groups, polyhedral products and the -generating function	2021	Jorge Aguilar-Guzmán Jesús González John Oprea
+ PDF Chat	A fundamental group for digital images	2021	Gregory Lupton John Oprea Nicholas A. Scoville
+	Right-angled Artin groups, polyhedral products and the TC-generating function.	2020	Jorge Aguilar-Guzmán Jesús González John Oprea
+	Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity	2020	Andrés Ángel Hellen Colman Mark Grant John Oprea
+	Right-angled Artin groups, polyhedral products and the TC-generating function	2020	Jorge Aguilar-Guzmán Jesús González John Oprea
+	The Digital Hopf Construction	2020	Gregory Lupton John Oprea Nicholas A. Scoville
+ PDF Chat	Bredon cohomology and robot motion planning	2019	Michael Färber Mark Grant Gregory Lupton John Oprea
+	Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity	2019	Andrés Ángel Hellen Colman Mark Grant John Oprea
+	A Fundamental Group for Digital Images	2019	Gregory Lupton John Oprea Nicholas A. Scoville
+	Subdivision of Maps of Digital Images.	2019	Gregory Lupton John Oprea Nicholas A. Scoville
+	Homotopy Theory in Digital Topology	2019	Gregory Lupton John Oprea Nicholas A. Scoville
+	Higher topological complexity of aspherical spaces	2019	Michael Färber John Oprea
+	Homotopy Invariants and Almost Non-Negative Curvature	2019	Giovanni Bazzoni Gregory Lupton John Oprea
+	An upper bound for topological complexity	2019	Michael Färber Mark Grant Gregory Lupton John Oprea
+	A Fundamental Group for Digital Images	2019	Gregory Lupton John Oprea Nicholas Z. Scoville
+	Subdivision of Maps of Digital Images	2019	Gregory Lupton John Oprea Nicholas A. Scoville
+	Homotopy Theory in Digital Topology	2019	Gregory Lupton John Oprea Nicholas Z. Scoville
+	Homotopy Invariants and Almost Non-Negative Curvature	2019	Giovanni Bazzoni Gregory Lupton John Oprea
+	Higher topological complexity of aspherical spaces	2019	Michael Färber John Oprea
+	Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity	2019	Andrés Ángel Hellen Colman Mark D Grant John Oprea
+	An upper bound for topological complexity	2018	Michael Färber Mark Grant Gregory Lupton John Oprea
+ PDF Chat	Parallel Forms, Co-Kähler Manifolds and their Models	2018	Giovanni Bazzoni Gregory Lupton John Oprea
+	An upper bound for topological complexity	2018	Michael Färber Mark D Grant Gregory Lupton John Oprea
+	Height functions on quaternionic Stiefel manifolds	2017	E. Macías–Virgós John Oprea Jeff Strom Daniel Tanré
+	Hereditary properties of co-Kähler manifolds	2016	Giovanni Bazzoni Gregory Lupton John Oprea
+	Parallel forms, co-K\"ahler Manifolds and their Models	2016	Giovanni Bazzoni Gregory Lupton John Oprea
+	Parallel forms, co-Kähler Manifolds and their Models	2016	Giovanni Bazzoni Gregory Lupton John Oprea
+	A splitting theorem for compact Vaisman manifolds	2015	Giovanni Bazzoni Juan Carlos Marrero John Oprea
+	Yves Félix, Steve Halperin, Jean-Claude Thomas: “Rational Homotopy Theory II”	2015	John Oprea
+ PDF Chat	A mapping theorem for topological complexity	2015	Mark Grant Gregory Lupton John Oprea
+ PDF Chat	Lie-model for Thom spaces of tangent bundles	2015	Yves Félix John Oprea Daniel Tanré
+	New lower bounds for the topological complexity of aspherical spaces	2015	Mark Grant Gregory Lupton John Oprea
+	A splitting theorem for compact Vaisman manifolds	2015	Giovanni Bazzoni Juan Carlos Marrero John Oprea
+ PDF Chat	On the geometry of the rotating liquid drop	2014	Ivaïlo M. Mladenov John Oprea
+ PDF Chat	Applications of Lusternik-Schnirelmann Category and its Generalizations	2014	John Oprea
+	New lower bounds for the topological complexity of aspherical spaces	2013	Mark Grant Gregory Lupton John Oprea
+ PDF Chat	On the structure of co-Kähler manifolds	2013	Giovanni Bazzoni John Oprea
+ PDF Chat	Spaces of topological complexity one	2013	Mark Grant Gregory Lupton John Oprea
+	New lower bounds for the topological complexity of aspherical spaces	2013	Mark D Grant Gregory Lupton John Oprea
+	On the structure of co-K\"ahler manifolds	2012	Giovanni Bazzoni John Oprea
+	Spaces of Topological Complexity One	2012	Mark Grant Gregory Lupton John Oprea
+	On Foxʼs m-dimensional category and theorems of Bochner type	2012	John Oprea Jeff Strom
+	On the structure of co-Kähler manifolds	2012	Giovanni Bazzoni John Oprea
+	Spaces of Topological Complexity One	2012	Mark D Grant Gregory Lupton John Oprea
+	Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics	2011	John Oprea Daniel Tanré
+	Mixing categories	2011	John Oprea Jeff Strom
+	Lusternik–Schnirelmann category, complements of skeleta and a theorem of Dranishnikov	2010	John Oprea Jeff Strom
+	On the Realizability of Gottlieb Groups	2010	John Oprea Jeff Strom
+	On the realizability of Gottlieb groups	2010	John Oprea Jeff Strom
+	Rational homotopy of gauge groups	2008	Yves Félix John Oprea
+ PDF Chat	The propagation of non-Lefschetz type, the Gottlieb group and related questions	2008	John Oprea
+	Preface	2008	Yves Félix John Oprea Daniel Tanré
+	Complex and symplectic manifolds	2008	Yves Félix John Oprea Daniel Tanré
+	Minimal models	2008	Yves Félix John Oprea Daniel Tanré
+	Lie groups and homogeneous spaces	2008	Yves Félix John Oprea Daniel Tanré
+	<i>G</i>-spaces	2008	Yves Félix John Oprea Daniel Tanré
+	De Rham Forms	2008	Yves Félix John Oprea Daniel Tanré
+	A Florilège of geometric applications	2008	Yves Félix John Oprea Daniel Tanré
+	Basic Homotopy Recollections	2008	Yves Félix John Oprea Daniel Tanré
+	Blow-ups and Intersection Products	2008	Yves Félix John Oprea Daniel Tanré
+	Manifolds	2008	Yves Félix John Oprea Daniel Tanré
+	Algebraic Models in Geometry	2008	Yves Félix John Oprea Daniel Tanré
+	Curvature	2008	Yves Félix John Oprea Daniel Tanré
+	Algebraic models in geometry	2008	Ives Felix John Oprea Daniel Tanré
+	Unduloids and their geometry	2007	Mariana Hadzhilazova Ivaïlo M. Mladenov John Oprea
+ PDF Chat	Constant Mean Curvature Surfaces	2007	John Oprea
+	Holonomy and the Gauss-Bonnet Theorem	2007	John Oprea
+	The Calculus of Variations and Geometry	2007	John Oprea
+	Differential Geometry and Its Applications	2007	John Oprea
+	A c-symplectic free s1-manifold with contractible orbits and cat = ½ dim	2006	Christopher Allday John Oprea
+	A c-symplectic free S^1-manifold with contractible orbits and cat = 1/2 dim	2006	John Oprea C. Allday
+	A C-symplectic free 𝑆¹-manifold with contractible orbits and 𝐂𝐀𝐓=\frac12𝐃𝐈𝐌	2005	Christopher Allday John Oprea
+ PDF Chat	Flat circle bundles, pullbacks, and the circle made discrete	2005	John Oprea Daniel Tanré
+	The Mylar Balloon Revisited	2003	Ivaïlo M. Mladenov John Oprea
+	Upper bounds for category	2003	Octav Cornea Gregory Lupton John Oprea Daniel Tanré
+	Rational homotopy and category	2003	Octav Cornea Gregory Lupton John Oprea Daniel Tanré
+	Category and symplectic topology	2003	Octav Cornea Gregory Lupton John Oprea Daniel Tanré
+	Lower bounds for LS-category	2003	Octav Cornea Gregory Lupton John Oprea Daniel Tanré
+	Basic homotopy	2003	Octav Cornea Gregory Lupton John Oprea Daniel Tanré
+	Quotient maps, group actions and Lusternik–Schnirelmann category	2002	John Oprea John Walsh
+ PDF Chat	Detecting elements and Lusternik-Schnirelmann category of 3-manifolds	2002	John Oprea Yuli B. Rudyak
+	Lusternik-Schnirelmann category and related topics : 2001 AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium, July 29-August 2, 2001, Mount Holyoke College, South Hadley, Massachusetts	2002	Octavian Cornea Gregory Lupton John Oprea Daniel Tanré
+	Bochner-type theorems for the Gottlieb group and injective toral actions	2002	John Oprea
+	Lusternik-Schnirelmann Category and Related Topics	2002	Octavian Cornea Gregory Lupton John Oprea Daniel Tanré
+ PDF Chat	Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group	2001	John Oprea
+	Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds	2001	John Oprea Yuli B. Rudyak
+	A quick trip through differential geometry and complex variables	2000	John Oprea
+	The calculus of variations and shape	2000	John Oprea
+	The Mathematics of Soap Films: Explorations with Maple®	2000	John Oprea
+ PDF Chat	On the Lusternik–Schnirelmann category of symplectic manifolds and the Arnold conjecture	1999	Yuli B. Rudyak John Oprea
+	Category weight: new ideas concerning the Lusternik-Schnirelmann category	1998	John Oprea Aleksy Tralle Yu. B. Rudyak
+	Homotopy and geometry	1998	John Oprea Aleksy Tralle
+ PDF Chat	Homotopy theory and circle actions on symplectic manifolds	1998	John Oprea
+	Symplectic structures in total spaces of bundles	1997	Aleksy Tralle John Oprea
+	The starting point: Homotopy properties of kähler manifolds	1997	Aleksy Tralle John Oprea
+	On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture	1997	Yuli B. Rudyak John Oprea
+	Solvmanifolds	1997	Aleksy Tralle John Oprea
+	Nilmanifolds	1997	Aleksy Tralle John Oprea
+ PDF Chat	Symplectic Manifolds with no Kähler Structure	1997	Aleksy Tralle John Oprea
+	None	1997	John Oprea Aleksy Tralle
+ PDF Chat	Fixed points and powers of self-maps of 𝐻-spaces	1996	Gregory Lupton John Oprea
+ PDF Chat	Higher Lefschetz Traces and Spherical Euler Characteristics	1996	Ross Geoghegan Andrew Nicas John Oprea
+	Geometry and the Foucault Pendulum	1995	John Oprea
+ PDF Chat	Cohomologically symplectic spaces: toral actions and the Gottlieb group	1995	Gregory Lupton John Oprea
+ PDF Chat	Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group	1995	Gregory Lupton John Oprea
+	Gottlieb groups, group actions, fixed points and rational homotopy	1995	John Oprea
+	Symplectic manifolds and formality	1994	Gregory Lupton John Oprea
+	Rational Ljusternik-Schnirelmann category and the Arnol'd conjecture for nilmanifolds	1993	Christopher McCord John Oprea
+	Principal bundles over tori and maps which induce the identity on homotopy	1993	John Oprea Jingyal Pak
+ PDF Chat	A Homotopical Conner-Raymond Theorem and a Question of Gottlieb	1990	John Oprea
+ PDF Chat	Decompositions of Localized Fibres and Cofibres	1988	John Oprea
+	Descent in Rational Homotopy Theory	1986	John Oprea
+ PDF Chat	DGA homology decompositions and a condition for formality	1986	John Oprea
+ PDF Chat	Decomposition Theorems in Rational Homotopy Theory	1986	John Oprea
+ PDF Chat	Decomposition theorems in rational homotopy theory	1986	John Oprea
+	Lifting homotopy actions in rational homotopy theory	1984	John Oprea
+	Contributions to rational homotopy theory	1982	John Oprea

Common Coauthors

Coauthor	Papers Together
Gregory Lupton	39
Daniel Tanré	24
Yves Félix	14
Giovanni Bazzoni	12
Mark Grant	10
Michael Färber	10
Nicholas A. Scoville	9
Aleksy Tralle	8
Jeff Strom	6
Octav Cornea	5
Mark D Grant	4
Yuli B. Rudyak	4
Hellen Colman	3
Jesús González	3
Andrés Ángel	3
Jorge Aguilar-Guzmán	3
Ivaïlo M. Mladenov	3
Christopher Allday	2
Nicholas Z. Scoville	2
Stephan Mescher	2
E. Macías–Virgós	2
Octavian Cornea	2
Juan Carlos Marrero	2
Arturo Espinosa Baro	2
Ives Felix	1
Jingyal Pak	1
Ross Geoghegan	1
Andrew Nicas	1
D. Mosquera-Lois	1
Yu. B. Rudyak	1
John Walsh	1
Greg Lupton	1
Mariana Hadzhilazova	1
C. Allday	1
Christopher McCord	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Lusternik-Schnirelmann Category of Abstract Groups	1957	Samuel Eilenberg Tudor Ganea	14
+ PDF Chat	Topological Complexity of Motion Planning	2003	Michael Färber	14
+	Lusternik-Schnirelmann category	2015	Octavian Cornea	12
+	Elements of Homotopy Theory	1978	George W. Whitehead	11
+ PDF Chat	Cohomologically symplectic spaces: toral actions and the Gottlieb group	1995	Gregory Lupton John Oprea	11
+	Elements of Homotopy Theory	1978	George W. Whitehead	10
+ PDF Chat	Infinitesimal computations in topology	1977	Dennis Sullivan	10
+ PDF Chat	Dimension of metric spaces and Hilbert’s problem 13	1965	Phillip A. Ostrand	9
+	On higher analogs of topological complexity	2009	Yuli B. Rudyak	9
+ PDF Chat	On the Lusternik–Schnirelmann category of symplectic manifolds and the Arnold conjecture	1999	Yuli B. Rudyak John Oprea	9
+	Introduction to Compact Transformation Groups	1972	Glen E. Bredon	8
+	Algebraic models in geometry	2008	Ives Felix John Oprea Daniel Tanré	8
+	Evaluation Subgroups of Homotopy Groups	1969	Daniel Henry Gottlieb	8
+	Symplectic manifolds and formality	1994	Gregory Lupton John Oprea	8
+	An upper bound for topological complexity	2019	Michael Färber Mark Grant Gregory Lupton John Oprea	8
+ PDF Chat	Applications of bundle map theory	1972	Daniel Henry Gottlieb	8
+	Localization of Nilpotent Groups and Spaces	1975	Peter Hilton Guido Mislin Joe Roitberg Léopoldo Nachbin	7
+	None	2003	Michael Färber Serge Tabachnikov Sergey Yuzvinsky	7
+	On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group	2008	Alexander Dranishnikov	7
+ PDF Chat	Introduction to symplectic topology	2006	Dusa McDuff	7
+	Kähler and symplectic structures on nilmanifolds	1988	Chal Benson Carolyn S. Gordon	7
+ PDF Chat	A Homotopical Conner-Raymond Theorem and a Question of Gottlieb	1990	John Oprea	7
+ PDF Chat	The Lusternik–Schnirelmann category and the fundamental group	2010	Alexander Dranishnikov	6
+ PDF Chat	Higher topological complexity and its symmetrization	2014	Ibai Basabe Jesús González Yuli B. Rudyak Dai Tamaki	6
+ PDF Chat	Symplectic Manifolds with no Kähler Structure	1997	Aleksy Tralle John Oprea	6
+	ON CATEGORY WEIGHT AND ITS APPLICATIONS	1999	Yuli B. Rudyak	6
+	Factor Spaces of Solvable Groups	1954	G. D. Mostow	6
+	Injective operations of the toral groups II	1972	P. E. Conner Frank Raymond	6
+	Algebraic topology	2001	Allen Hatcher	6
+	Homotopy theory and duality	1966	喜輔土田	6
+	Rational Homotopy Theory	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas	5
+	Mixing categories	2011	John Oprea Jeff Strom	5
+	Injective operations of the toral groups	1971	P. E. Conner Frank Raymond	5
+	Algebraic Models in Geometry	2008	Yves Félix John Oprea Daniel Tanré	5
+	Real homotopy theory of K�hler manifolds	1975	Pierre Deligne Phillip Griffiths John Morgan Dennis Sullivan	5
+	Rational Homotopy Theory and Differential Forms	1981	Griffiths Morgan	5
+ PDF Chat	Spaces of topological complexity one	2013	Mark Grant Gregory Lupton John Oprea	5
+ PDF Chat	Bredon cohomology and robot motion planning	2019	Michael Färber Mark Grant Gregory Lupton John Oprea	5
+ PDF Chat	Some simple examples of symplectic manifolds	1976	William P. Thurston	5
+	On the topological complexity of aspherical spaces	2018	Michael Färber Stephan Mescher	5
+	On Foxʼs m-dimensional category and theorems of Bochner type	2012	John Oprea Jeff Strom	5
+	New lower bounds for the topological complexity of aspherical spaces	2015	Mark Grant Gregory Lupton John Oprea	5
+	Rational Homotopy Theory	1969	Daniel Quillen	5
+	Rational Homotopy Theory and Differential Forms	2013	Phillip Griffiths John W. Morgan	5
+	Cuplength estimates on lagrangian intersections	1989	Andreas Floer	5
+	On the Lusternik-Schnirelmann Category	1941	Ralph H. Fox	5
+	Rational Homotopy Theory	2000	Yves Félix Stephen Halperin Jean‐Claude Thomas	5
+ PDF Chat	A mapping theorem for topological complexity	2015	Mark Grant Gregory Lupton John Oprea	5
+ PDF Chat	Rational LS category and its applications	1982	Yves Félix Stephen Halperin	5
+ PDF Chat	Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group	2001	John Oprea	5