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Oprea, John F.

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Author ID: oprea.john-f Recent zbMATH articles by "Oprea, John F."
Published as: Oprea, John; Oprea, John F.; Oprea, J.
Homepage: http://academic.csuohio.edu/oprea_j/
External Links: MGP
Documents Indexed: 66 Publications since 1984, including 9 Books
Reviewing Activity: 144 Reviews

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 448 times in 338 Documents Cited by Year
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
111
2003
Algebraic models in geometry. Zbl 1149.53002
Félix, Yves; Oprea, John; Tanré, Daniel
60
2008
Symplectic manifolds with no Kähler structure. Zbl 0891.53001
Tralle, Aleksy; Oprea, John
58
1997
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
21
1995
Differential geometry and its applications. 2nd ed. Zbl 1153.53001
Oprea, John
20
2007
On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture. Zbl 0931.53039
Rudyak, Yuli B.; Oprea, John
15
1999
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
11
1994
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
8
2015
Detecting elements and Lusternik-Schnirelmann category of 3-manifolds. Zbl 1029.55006
Oprea, John; Rudyak, Yuli
8
2002
Rational homotopy of gauge groups. Zbl 1168.55010
Félix, Yves; Oprea, John
7
2009
On the structure of co-Kähler manifolds. Zbl 1295.53016
Bazzoni, Giovanni; Oprea, John
7
2014
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
7
2013
The Mylar balloon revisited. Zbl 1044.33008
Mladenov, Ivaïlo M.; Oprea, John
7
2003
The mathematics of soap films: explorations with Maple. Zbl 0972.53003
Oprea, John
7
2000
The Mylar balloon: new viewpoints and generalizations. Zbl 1123.53006
Mladenov, Ivaïlo M.; Oprea, John
7
2007
Quotient maps, group actions and Lusternik-Schnirelmann category. Zbl 0987.55005
Oprea, John; Walsh, John
6
2002
Differential geometry and its applications. Zbl 0882.53001
Oprea, John
6
1997
Gottlieb groups, group actions, fixed points and rational homotopy. Zbl 0834.55001
Oprea, John
5
1995
A homotopical Conner-Raymond theorem and a question of Gottlieb. Zbl 0661.57014
Oprea, John
5
1990
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
4
2015
Lusternik-Schnirelmann category, complements of skeleta and a theorem of Dranishnikov. Zbl 1204.55004
Oprea, John; Strom, Jeff
4
2010
Unduloids and their geometry. Zbl 1199.53008
Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John
4
2007
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
4
2019
Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group. Zbl 0984.53015
Oprea, John
4
2002
Higher topological complexity of aspherical spaces. Zbl 1412.55003
Farber, Michael; Oprea, John
4
2019
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
3
2017
Finite group actions on spheres and the Gottlieb group. Zbl 0736.55011
Oprea, John
3
1991
The category of nilmanifolds. Zbl 0755.55004
Oprea, John
3
1992
Mixing categories. Zbl 1227.55003
Oprea, John; Strom, Jeff
3
2011
Geometry and the Foucault pendulum. Zbl 0843.53052
Oprea, John
2
1995
Bifurcation of self-sustained magnetic fields in planar convective flows. Zbl 0835.76031
Bosh-Vivancos, I.; Chossat, P.; Oprea, J.
2
1995
Rational Ljusternik-Schnirelmann category and the Arnol’d conjecture for nilmanifolds. Zbl 0798.58017
McCord, Christopher; Oprea, John
2
1993
A \(c\)-symplectic free \(S^1\)-manifold with contractible orbits and \(\mathbf{CAT} = \frac12\,\mathbf{DIM}\). Zbl 1081.57028
Allday, Christopher; Oprea, John
2
2006
Koszul-Sullivan models and the cohomology of certain solvmanifolds. Zbl 0891.53021
Oprea, John; Tralle, Aleksy
2
1997
Decomposition theorems in rational homotopy theory. Zbl 0602.55006
Oprea, John
2
1986
The Samelson space of a fibration. Zbl 0618.55005
Oprea, John
2
1987
Fixed points and powers of self-maps of \(H\)-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
2
1996
Aspects of Lusternik-Schnirelmann category. Zbl 1356.55001
Oprea, John
2
2015
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2
2019
Height functions on quaternionic Stiefel manifolds. Zbl 1425.55002
Macías-Virgós, Enrique; Oprea, John; Strom, Jeff; Tanré, Daniel
2
2017
DGA homology decompositions and a condition for formality. Zbl 0576.55006
Oprea, John F.
2
1986
On some deformations of the mylar balloon. Zbl 1243.49050
Mladenov, Ivaïlo M.; Oprea, John
2
2007
Lie-model for Thom spaces of tangent bundles. Zbl 1336.55008
Félix, Yves; Oprea, John; Tanré, Daniel
1
2016
Higher Lefschetz traces and spherical Euler characteristics. Zbl 0859.55003
Geoghegan, Ross; Nicas, Andrew; Oprea, John
1
1996
Principal bundles over tori and maps which induce the identity on homotopy. Zbl 0794.55009
Oprea, John; Pak, Jingyal
1
1993
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2018
Bochner-type theorems for the Gottlieb group and injective toral actions. Zbl 1044.55003
Oprea, John
1
2002
Flat circle bundles, pullbacks, and the circle made discrete. Zbl 1092.57019
Oprea, John; Tanré, Daniel
1
2005
On the realizability of Gottlieb groups. Zbl 1209.55007
Oprea, John; Strom, Jeff
1
2010
Balloons, domes and geometry. Zbl 1184.53007
Mladenov, Ivaïlo M.; Oprea, John
1
2009
On Fox’s \(m\)-dimensional category and theorems of Bochner type. Zbl 1236.55005
Oprea, John; Strom, Jeff
1
2012
Lifting homotopy actions in rational homotopy theory. Zbl 0549.55008
Oprea, John F.
1
1984
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
4
2019
Higher topological complexity of aspherical spaces. Zbl 1412.55003
Farber, Michael; Oprea, John
4
2019
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2
2019
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2018
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
3
2017
Height functions on quaternionic Stiefel manifolds. Zbl 1425.55002
Macías-Virgós, Enrique; Oprea, John; Strom, Jeff; Tanré, Daniel
2
2017
Lie-model for Thom spaces of tangent bundles. Zbl 1336.55008
Félix, Yves; Oprea, John; Tanré, Daniel
1
2016
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
8
2015
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
4
2015
Aspects of Lusternik-Schnirelmann category. Zbl 1356.55001
Oprea, John
2
2015
On the structure of co-Kähler manifolds. Zbl 1295.53016
Bazzoni, Giovanni; Oprea, John
7
2014
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
7
2013
On Fox’s \(m\)-dimensional category and theorems of Bochner type. Zbl 1236.55005
Oprea, John; Strom, Jeff
1
2012
Mixing categories. Zbl 1227.55003
Oprea, John; Strom, Jeff
3
2011
Lusternik-Schnirelmann category, complements of skeleta and a theorem of Dranishnikov. Zbl 1204.55004
Oprea, John; Strom, Jeff
4
2010
On the realizability of Gottlieb groups. Zbl 1209.55007
Oprea, John; Strom, Jeff
1
2010
Rational homotopy of gauge groups. Zbl 1168.55010
Félix, Yves; Oprea, John
7
2009
Balloons, domes and geometry. Zbl 1184.53007
Mladenov, Ivaïlo M.; Oprea, John
1
2009
Algebraic models in geometry. Zbl 1149.53002
Félix, Yves; Oprea, John; Tanré, Daniel
60
2008
Differential geometry and its applications. 2nd ed. Zbl 1153.53001
Oprea, John
20
2007
The Mylar balloon: new viewpoints and generalizations. Zbl 1123.53006
Mladenov, Ivaïlo M.; Oprea, John
7
2007
Unduloids and their geometry. Zbl 1199.53008
Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John
4
2007
On some deformations of the mylar balloon. Zbl 1243.49050
Mladenov, Ivaïlo M.; Oprea, John
2
2007
A \(c\)-symplectic free \(S^1\)-manifold with contractible orbits and \(\mathbf{CAT} = \frac12\,\mathbf{DIM}\). Zbl 1081.57028
Allday, Christopher; Oprea, John
2
2006
Flat circle bundles, pullbacks, and the circle made discrete. Zbl 1092.57019
Oprea, John; Tanré, Daniel
1
2005
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
111
2003
The Mylar balloon revisited. Zbl 1044.33008
Mladenov, Ivaïlo M.; Oprea, John
7
2003
Detecting elements and Lusternik-Schnirelmann category of 3-manifolds. Zbl 1029.55006
Oprea, John; Rudyak, Yuli
8
2002
Quotient maps, group actions and Lusternik-Schnirelmann category. Zbl 0987.55005
Oprea, John; Walsh, John
6
2002
Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group. Zbl 0984.53015
Oprea, John
4
2002
Bochner-type theorems for the Gottlieb group and injective toral actions. Zbl 1044.55003
Oprea, John
1
2002
The mathematics of soap films: explorations with Maple. Zbl 0972.53003
Oprea, John
7
2000
On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture. Zbl 0931.53039
Rudyak, Yuli B.; Oprea, John
15
1999
Symplectic manifolds with no Kähler structure. Zbl 0891.53001
Tralle, Aleksy; Oprea, John
58
1997
Differential geometry and its applications. Zbl 0882.53001
Oprea, John
6
1997
Koszul-Sullivan models and the cohomology of certain solvmanifolds. Zbl 0891.53021
Oprea, John; Tralle, Aleksy
2
1997
Fixed points and powers of self-maps of \(H\)-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
2
1996
Higher Lefschetz traces and spherical Euler characteristics. Zbl 0859.55003
Geoghegan, Ross; Nicas, Andrew; Oprea, John
1
1996
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
21
1995
Gottlieb groups, group actions, fixed points and rational homotopy. Zbl 0834.55001
Oprea, John
5
1995
Geometry and the Foucault pendulum. Zbl 0843.53052
Oprea, John
2
1995
Bifurcation of self-sustained magnetic fields in planar convective flows. Zbl 0835.76031
Bosh-Vivancos, I.; Chossat, P.; Oprea, J.
2
1995
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
11
1994
Rational Ljusternik-Schnirelmann category and the Arnol’d conjecture for nilmanifolds. Zbl 0798.58017
McCord, Christopher; Oprea, John
2
1993
Principal bundles over tori and maps which induce the identity on homotopy. Zbl 0794.55009
Oprea, John; Pak, Jingyal
1
1993
The category of nilmanifolds. Zbl 0755.55004
Oprea, John
3
1992
Finite group actions on spheres and the Gottlieb group. Zbl 0736.55011
Oprea, John
3
1991
A homotopical Conner-Raymond theorem and a question of Gottlieb. Zbl 0661.57014
Oprea, John
5
1990
The Samelson space of a fibration. Zbl 0618.55005
Oprea, John
2
1987
Decomposition theorems in rational homotopy theory. Zbl 0602.55006
Oprea, John
2
1986
DGA homology decompositions and a condition for formality. Zbl 0576.55006
Oprea, John F.
2
1986
Lifting homotopy actions in rational homotopy theory. Zbl 0549.55008
Oprea, John F.
1
1984
all top 5

Cited by 412 Authors

21 Oprea, John F.
13 Dranishnikov, Alexander Nikolaevich
12 Bazzoni, Giovanni
12 Grant, Mark
12 Lupton, Gregory M.
9 Muñoz Velázquez, Vicente
9 Tanré, Daniel
8 Farber, Michael S.
8 Fernández Rodríguez, Marisa
8 Macias-Virgós, Enrique
8 Tralle, Aleksy E.
8 Yamaguchi, Toshihiro
7 Rudyak, Yuli B.
6 Smith, Samuel Bruce
6 Strom, Jeffrey A.
6 Vandembroucq, Lucile
5 García-Calcines, Jose Manuel
5 Mladenov, Ivaĭlo M.
5 Pavešić, Petar
5 Sati, Hisham
4 Amann, Manuel
4 Berglund, Alexander
4 Colman, Hellen
4 Félix, Yves
4 Gonzalez, Jesus
4 Iwase, Norio
4 Kishimoto, Daisuke
4 Marrero, Juan Carlos
4 Mescher, Stephan
4 Oda, Nobuyuki
4 Pereira-Sáez, María José
4 Stanley, Donald A.
3 Allday, Christopher
3 Blagojević, Pavle V. M.
3 Cirici, Joana
3 Fernández-Ternero, Desamparados
3 Goertsches, Oliver
3 Golasiński, Marek
3 Gómez Larrañaga, José Carlos
3 Gonçalves, Daciberg Lima
3 González Acuña, Francisco Javier
3 Heil, Wolfgang H.
3 Kapovitch, Vitali
3 Koschorke, Ulrich
3 Sadykov, Rustam
3 Sarkar, Soumen
3 Suciu, Alexander I.
3 Theriault, Stephen D.
3 Ugarte, Luis
3 Vilches, Jose Antonio
2 Angella, Daniele
2 Bayeh, Marzieh
2 Belegradek, Igor
2 Biswas, Indranil
2 Borat, Ayşe
2 Borjeson, Kaj
2 Buhovsky, Lev
2 Buijs, Urtzi
2 Cappelletti Montano, Beniamino
2 Cárdenas, Manuel
2 Carrasquel-Vera, José Gabriel
2 Cavalcanti, Gil Ramos
2 Chataur, David
2 Conti, Diego
2 De Nicola, Antonio
2 Doeraene, Jean-Paul
2 Fernández-Suárez, Lucía
2 Hajduk, Bogusław
2 Humilière, Vincent
2 Ibáñez, Raúl
2 Kahl, Thomas
2 Kasuya, Hisashi
2 Kȩdra, Jarek
2 Kutsak, Sergii
2 Limonchenko, Ivan Yur’evich
2 Mamouni, My Ismail
2 Mimura, Mamoru
2 Murillo-Mas, Aniceto
2 Muro, Fernando
2 Neumann, Frank
2 Pelayo, Alvaro
2 Peralta-Salas, Daniel
2 Quintero, Antonio
2 Radeschi, Marco
2 Recio-Mitter, David
2 Schlenk, Felix
2 Schreiber, Urs
2 Schütz, Dirk
2 Scoville, Nicholas A.
2 Seyfaddini, Sobhan
2 Srinivasan, Tulsi
2 Vergili, Tane
2 Wong, Peter N.-S.
2 Yokura, Shoji
2 Yudin, Ivan
2 Ziegler, Günter Matthias
2 Zoller, Leopold
1 Abbena, Elsa
1 Adiprasito, Karim Alexander
1 Ahmad, Abd Ghafur Bin
...and 312 more Authors
all top 5

Cited in 127 Serials

49 Topology and its Applications
25 Algebraic & Geometric Topology
24 Proceedings of the American Mathematical Society
12 Mathematische Zeitschrift
10 Transactions of the American Mathematical Society
8 Journal of Geometry and Physics
7 Journal of Pure and Applied Algebra
6 Advances in Mathematics
6 Forum Mathematicum
6 Geometry & Topology
5 Geometriae Dedicata
5 Journal of Geometry and Symmetry in Physics
4 Inventiones Mathematicae
4 Journal of Geometry
4 Mathematische Annalen
4 Osaka Journal of Mathematics
4 Differential Geometry and its Applications
4 Journal of Homotopy and Related Structures
4 Complex Manifolds
3 Discrete & Computational Geometry
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Fixed Point Theory and Applications
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Differential Equations
2 Meccanica
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Annals of Global Analysis and Geometry
2 Linear Algebra and its Applications
2 Turkish Journal of Mathematics
2 Mathematics and Mechanics of Solids
2 Communications in Contemporary Mathematics
2 Journal of Nonlinear Mathematical Physics
2 Mediterranean Journal of Mathematics
2 Fixed Point Theory and Applications
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Topology
2 Journal of Topology and Analysis
2 Science China. Mathematics
2 Arabian Journal of Mathematics
2 Journal of Applied and Computational Topology
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 European Journal of Physics
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 The Mathematical Gazette
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics Magazine
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Automatica
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Fundamenta Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Graphs and Combinatorics
1 ACM Transactions on Graphics
1 Computational Mechanics
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Multidimensional Systems and Signal Processing
1 The Journal of Geometric Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
1 Georgian Mathematical Journal
1 Advances in Applied Clifford Algebras
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Boletín de la Sociedad Matemática Mexicana. Third Series
...and 27 more Serials
all top 5

Cited in 47 Fields

201 Algebraic topology (55-XX)
113 Differential geometry (53-XX)
88 Manifolds and cell complexes (57-XX)
21 Dynamical systems and ergodic theory (37-XX)
20 Global analysis, analysis on manifolds (58-XX)
16 Algebraic geometry (14-XX)
16 Group theory and generalizations (20-XX)
15 Topological groups, Lie groups (22-XX)
13 Several complex variables and analytic spaces (32-XX)
12 Convex and discrete geometry (52-XX)
10 General topology (54-XX)
10 Computer science (68-XX)
9 Nonassociative rings and algebras (17-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Mechanics of particles and systems (70-XX)
8 Geometry (51-XX)
8 Quantum theory (81-XX)
7 Associative rings and algebras (16-XX)
7 Category theory; homological algebra (18-XX)
7 Partial differential equations (35-XX)
7 Numerical analysis (65-XX)
6 Combinatorics (05-XX)
5 Commutative algebra (13-XX)
5 Functional analysis (46-XX)
5 Fluid mechanics (76-XX)
4 Mechanics of deformable solids (74-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Number theory (11-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Biology and other natural sciences (92-XX)
1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year