Ketty A. de Rezende

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All published works

Action	Title	Year	Authors
+	Gutierrez–Sotomayor flows: isolating blocks and homotopical cancellations	2025	Ketty A. de Rezende Dahisy V. S. Lima Murilo A. de Jesus Zigart
+	A bifurcation analysis of simple singularities: cones, cross-caps, double and triple crossing points	2024	Ketty A. de Rezende Murilo A. J. Zigart
+	Minimal Flow Morsification subject to Level Set Control: a Combinatorial Approach	2023	Maria Alice Bertolim Ketty A. de Rezende Margarida Pinheiro Mello
+	Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds	2023	Ketty A. de Rezende Nivaldo G. Grulha Dahisy V. S. Lima Murilo A. J. Zigart
+	Cancellations of periodic orbits for non-singular Morse–Smale flows	2023	Dahisy V. S. Lima Ketty A. de Rezende Mariana R. da Silveira
+	The effect of singularization on the Euler characteristic	2023	Murilo A. J. Zigart Ketty A. de Rezende Dahisy V. S. Lima Nivaldo G. Grulha
+	Gutierrez-Sotomayor flows on singular surfaces	2022	Ketty A. de Rezende Nivaldo G. Grulha Dahisy V. S. Lima Murilo A.J. Zigart
+ PDF Chat	Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows	2021	Dahisy V. S. Lima S. A. Raminelli Ketty A. de Rezende
+	Gutierrez-Sotomayor Flows on Singular Surfaces	2020	Murilo A. J. Zigart Ketty A. de Rezende Nivaldo G. Grulha Dahisy V. S. Lima
+	Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows	2020	Dahisy V. S. Lima S. A. Raminelli Ketty A. de Rezende
+	Conley theory for Gutierrez-Sotomayor fields	2020	H. Montúfar Ketty A. de Rezende
+	Gutierrez-Sotomayor Flows on Singular Surfaces	2020	Murilo A. J. Zigart Ketty A. de Rezende Nivaldo G. Grulha Dahisy V. S. Lima
+	Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows	2020	Dahisy V. S. Lima S. A. Raminelli Ketty A. de Rezende
+	The Effect of Singularization on the Euler Characteristic	2020	Murilo A. de Jesus Zigart Ketty A. de Rezende Nivaldo G. Grulha Dahisy V. S. Lima
+	On handle theory for Morse–Bott critical manifolds	2018	Dahisy V. S. Lima Oziride Manzoli Neto Ketty A. de Rezende
+	Lyapunov graphs for circle valued functions	2018	Ketty A. de Rezende Guido Gerson Espiritu Ledesma Oziride Manzoli-Neto Gioia Vago
+ PDF Chat	Cancellations for circle-valued Morse functions via spectral sequences	2017	Dahisy V. S. Lima Oziride Manzoli Neto Ketty A. de Rezende Mariana R. da Silveira
+	Algebraic and dynamical cancellations associated to spectral sequence	2017	Maria Alice Bertolim Dahisy V. S. Lima Margarida Pinheiro Mello Ketty A. de Rezende Mariana R. da Silveira
+ PDF Chat	Discrete conley index theory for zero dimensional basic sets	2016	Ketty A. de Rezende Mariana G. Villapouca
+	Cancellations for Circle-valued Morse Functions via Spectral Sequences	2016	Dahisy V. S. Lima Ketty A. de Rezende Mariana R. da Silveira Oziride Manzoli Neto
+ PDF Chat	Generalized topological transition matrix	2016	Robert Franzosa Ketty A. de Rezende Ewerton R. Vieira
+ PDF Chat	Connection matrices for Morse-Bott flows	2016	Dahisy V. S. Lima Ketty A. de Rezende
+	Cancellations for Circle-valued Morse Functions via Spectral Sequences	2016	Dahisy V. S. Lima Ketty A. de Rezende Mariana R. da Silveira Oziride Manzoli Neto
+	Discrete Conley Index for Zero-dimensional Basic Sets	2015	Ketty A. de Rezende Mariana G. Villapouca
+ PDF Chat	Smale flows on	2015	Ketty A. de Rezende Guido Gerson Espiritu Ledesma Oziride Manzoli Neto
+	A global two-dimensional version of Smale’s cancellation theorem via spectral sequences	2015	Maria Alice Bertolim Dahisy V. S. Lima Margarida Pinheiro Mello Ketty A. de Rezende Mariana R. da Silveira
+	Discrete Conley Index for Zero-dimensional Basic Sets	2015	Ketty A. de Rezende Mariana G. Villapouca
+	An Algorithmic Approach to Algebraic and Dynamical Cancellations associated to a Spectral Sequence	2014	Maria Alice Bertolim Dahisy V. S. Lima Margarida Pinheiro Mello Ketty A. de Rezende Mariana R. da Silveira
+	Generalized Topological Transition Matrix	2013	Robert Franzosa Ketty A. de Rezende Ewerton R. Vieira
+	A teoria do índice de Conley discreta para conjuntos básicos zero-dimensionais	2013	Mariana Gesualdi Villapouca Ketty A. de Rezende
+	Continuation and bifurcation associated to the dynamical spectral sequence	2013	Robert Franzosa Ketty A. de Rezende Mariana R. da Silveira
+	Generalized Topological Transition Matrix	2013	Robert Franzosa Ketty A. de Rezende Ewerton R. Vieira
+ PDF Chat	Duality and the Poincaré–Hopf Inequalities	2011	Maria Alice Bertolim Carlos Biasi Ketty A. de Rezende
+	On the variations of the Betti numbers of regular levels of Morse flows	2011	Maria Alice Bertolim Ketty A. de Rezende Oziride Manzoli Neto Gioia Vago
+	DUALITY AND THE POINCAR ´ E-HOPF INEQUALITIES	2011	Maria Alice Bertolim Carlos Biasi Ketty A. de Rezende
+	Conley's spectral sequence via the sweeping algorithm	2010	Ketty A. de Rezende Margarida Pinheiro Mello Mariana R. da Silveira
+	Matrizes de conexão via o complexo de Morse-Witten	2010	Dahisy V. S. Lima Ketty A. de Rezende
+	Matrizes de conexão para as dinamicas continua e discreta	2010	Naiara Vergian de Paulo Ketty A. de Rezende
+ PDF Chat	Spectral sequences in Conley’s theory	2009	Octavian Cornea Ketty A. de Rezende Mariana R. da Silveira
+	The Conley index for discontinuous vector fields	2008	R. Casagrande Ketty A. de Rezende Marco Antônio Teixeira
+	Isolating Blocks for Periodic Orbits	2006	Maria Alice Bertolim Ketty A. de Rezende Oziride Manzoli Neto
+	Isolating blocks for Morse flows	2006	Maria Alice Bertolim Ketty A. de Rezende Oziride Manzoli Neto Gioia Vago
+	Minimal Morse flows on compact manifolds	2006	Maria Alice Bertolim Ketty A. de Rezende Gioia Vago
+	Realizability of the Morse polytope	2005	Ricardo N. Cruz Margarida Pinheiro Mello Ketty A. de Rezende
+	Poincaré–Hopf and Morse inequalities for Lyapunov graphs	2004	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende
+ PDF Chat	Poincaré-Hopf inequalities	2004	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende
+	Dynamical and topological aspects of Lyapunov graphs	2004	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende
+	Lyapunov graph continuation	2003	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende
+	O indice homotopico de Conley para aplicações continuas	2002	Rogério Antônio Casagrande Ketty A. de Rezende
+	A dinamica dos templates e os blocos isolantes	2002	Hernán Roberto Montúfar López Ketty A. de Rezende
+ PDF Chat	Maximal Poincaré polynomials and minimal Morse functions	2001	Vieri Benci Ketty A. de Rezende
+	Gradient-like flows on high-dimensional manifolds	1999	Ricardo N. Cruz Ketty A. de Rezende
+	Lyapunov Graphs and Flows on Surfaces	1993	Ketty A. de Rezende R. D. Franzosa
+	Gradient-like flows on 3-manifolds	1993	Ketty A. de Rezende
+ PDF Chat	Lyapunov graphs and flows on surfaces	1993	Ketty A. de Rezende Robert Franzosa

Common Coauthors

Coauthor	Papers Together
Dahisy V. S. Lima	20
Maria Alice Bertolim	14
Margarida Pinheiro Mello	10
Mariana R. da Silveira	10
Oziride Manzoli Neto	8
Nivaldo G. Grulha	6
Murilo A. J. Zigart	5
Robert Franzosa	5
Gioia M. Vago	4
Ewerton R. Vieira	3
S. A. Raminelli	3
Mariana G. Villapouca	3
Guido Gerson Espiritu Ledesma	2
Ricardo N. Cruz	2
Carlos Biasi	2
Murilo A. de Jesus Zigart	2
Vieri Benci	1
H. Montúfar	1
Murilo A.J. Zigart	1
Naiara Vergian de Paulo	1
R. D. Franzosa	1
R. Casagrande	1
Hernán Roberto Montúfar López	1
Marco Antônio Teixeira	1
Rogério Antônio Casagrande	1
Oziride Manzoli-Neto	1
Mariana Gesualdi Villapouca	1
Octavian Cornea	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Isolated Invariant Sets and the Morse Index	1978	Charles C. Conley	28
+	Homology and Dynamical Systems	1982	John Franks	16
+	Nonsingular smale flows on S3	1985	John Franks	14
+	Lyapunov graph continuation	2003	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende	13
+	Gradient-like flows on high-dimensional manifolds	1999	Ricardo N. Cruz Ketty A. de Rezende	11
+	Poincaré–Hopf and Morse inequalities for Lyapunov graphs	2004	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende	10
+	Continuation to the minimal number of critical points in gradient flows	1992	James F. Reineck	9
+ PDF Chat	Spectral sequences in Conley’s theory	2009	Octavian Cornea Ketty A. de Rezende Mariana R. da Silveira	9
+ PDF Chat	The connection matrix theory for Morse decompositions	1989	Robert Franzosa	8
+ PDF Chat	Smale flows on the three-sphere	1987	Ketty de Rezende	8
+	Morse Theory, the Conley Index and Floer Homology	1990	Dietmar Salamon	7
+ PDF Chat	The continuation theory for Morse decompositions and connection matrices	1988	Robert Franzosa	7
+ PDF Chat	Cycle rank of Lyapunov graphs and the genera of manifolds	1998	Laura Cruz–Reyes Ketty de Rezende	7
+	Isolating blocks for Morse flows	2006	Maria Alice Bertolim Ketty A. de Rezende Oziride Manzoli Neto Gioia Vago	7
+	Lecture Notes in Algebraic Topology	2001	James Davis Paul Kirk	6
+ PDF Chat	Lyapunov graphs and flows on surfaces	1993	Ketty A. de Rezende Robert Franzosa	6
+	Lectures on the H-Cobordism Theorem	1965	John Milnor	6
+	Realizability of the Morse polytope	2005	Ricardo N. Cruz Margarida Pinheiro Mello Ketty A. de Rezende	5
+ PDF Chat	Poincaré-Lefschetz duality for the homology Conley index	1992	Christopher McCord	5
+ PDF Chat	Continuation to gradient flows	1991	James F. Reineck	5
+	Isolating Blocks for Periodic Orbits	2006	Maria Alice Bertolim Ketty A. de Rezende Oziride Manzoli Neto	5
+	A global two-dimensional version of Smale’s cancellation theorem via spectral sequences	2015	Maria Alice Bertolim Dahisy V. S. Lima Margarida Pinheiro Mello Ketty A. de Rezende Mariana R. da Silveira	5
+ PDF Chat	Algebraic transition matrices in the Conley index theory	1998	Robert Franzosa Konstantin Mischaikow	5
+	Minimal Morse flows on compact manifolds	2006	Maria Alice Bertolim Ketty A. de Rezende Gioia Vago	5
+	Continuation and bifurcation associated to the dynamical spectral sequence	2013	Robert Franzosa Ketty A. de Rezende Mariana R. da Silveira	5
+ PDF Chat	Poincaré-Hopf inequalities	2004	Maria Alice Bertolim Margarida Pinheiro Mello Ketty A. de Rezende	5
+ PDF Chat	Connected simple systems and the Conley index of isolated invariant sets	1985	Dietmar Salamon	4
+ PDF Chat	The Morse–Witten complex via dynamical systems	2005	Joa Weber	4
+	Conley's spectral sequence via the sweeping algorithm	2010	Ketty A. de Rezende Margarida Pinheiro Mello Mariana R. da Silveira	4
+ PDF Chat	The connection matrix in Morse-Smale flows	1990	James F. Reineck	4
+	Stable Vector Fields on Manifolds with Simple Singularities	1982	Carlos Gutiérrez Jorge Sotomayor	4
+	Gradient-like flows on 3-manifolds	1993	Ketty A. de Rezende	4
+ PDF Chat	Index filtrations and the homology index braid for partially ordered Morse decompositions	1986	Robert Franzosa	3
+ PDF Chat	Cancellations for circle-valued Morse functions via spectral sequences	2017	Dahisy V. S. Lima Oziride Manzoli Neto Ketty A. de Rezende Mariana R. da Silveira	3
+ PDF Chat	The connection map for attractor-repeller pairs	1988	Christopher McCord	3
+ PDF Chat	Smoothing derivatives of functions and applications	1969	F. Wilson	3
+	Homology for Zero-Dimensional Nonwandering Sets	1977	Rufus Bowen John Franks	3
+	Algebraic topology	2001	Allen Hatcher	3
+	Differentiable Dynamical Systems	1980	Steve Smale	3
+	Conley theory for Gutierrez-Sotomayor fields	2020	H. Montúfar Ketty A. de Rezende	3
+ PDF Chat	Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows	2021	Dahisy V. S. Lima S. A. Raminelli Ketty A. de Rezende	3
+	On Gradient Dynamical Systems	1961	Stephen T. Smale	3
+	An Algorithmic Approach to Algebraic and Dynamical Cancellations associated to a Spectral Sequence	2014	Maria Alice Bertolim Dahisy V. S. Lima Margarida Pinheiro Mello Ketty A. de Rezende Mariana R. da Silveira	3
+ PDF Chat	Differentiable dynamical systems	1967	Stephen T. Smale	3
+	Topology and geometry	1993	Glen E. Bredon	2
+	The Conley index for discrete semidynamical systems	1995	Andrzej Szymczak	2
+	On the Structure of Manifolds	1962	Stephen T. Smale	2
+ PDF Chat	Connection matrices and transition matrices	1999	Christopher McCord James F. Reineck	2
+ PDF Chat	Leray functor and cohomological Conley index for discrete dynamical systems	1990	Marian Mrożek	2
+	Morse-Smale flows and homotopy theory	1979	John Franks	2