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Luis Javier Hernández Paricio
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All published works
Action
Title
Year
Authors
+
Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents
2023
V. Álvarez-Aparicio
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Semi-simplicial combinatorics of cyclinders and subdivisions
2023
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
PDF
Chat
Augmented Simplicial Combinatorics through Category Theory: Cones, Suspensions and Joins
2022
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
PDF
Chat
A Graphic Method for Detecting Multiple Roots Based on Self-Maps of the Hopf Fibration and Nullity Tolerances
2021
José Ignacio Extreminana-Aldana
J.M. Gutiérrez
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
PDF
Chat
Regions of attraction, limits and end points of an exterior discrete semi-flow
2018
J.M. García-Calcines
Luis Javier Hernández Paricio
Miguel Marañón Grandes
María Teresa Rivas Rodríguez
+
The shape of the Julia set of an expanding rational map
2018
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Self-overlays and symmetries of Julia sets of expanding maps
2018
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
PDF
Chat
Omega limits, prolongational limits and almost periodic points of a continuous flow via exterior spaces
2017
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
PDF
Chat
A completion construction for continuous dynamical systems
2016
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Prolongations, Suspensions and Telescopes
2016
Jaime Martín Fernández Cestau
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Self-overlays and shape of the Julia set of a rational map
2016
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Graphical representations for the homogeneous bivariate Newton’s method
2015
J.M. García-Calcines
J.M. Gutiérrez
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Bivariate Newton-Raphson method and toroidal attraction basins
2015
Luis Javier Hernández Paricio
+
Limit and end functors of dynamical systems via exterior spaces
2013
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Influence of the multiplicity of the roots on the basins of attraction of Newton’s method
2013
J.M. Gutiérrez
Luis Javier Hernández Paricio
Miguel Marañón-Grandes
María Teresa Rivas Rodríguez
+
A completion construction for continuous dynamical systems
2012
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Path lifting methods and solutions of univariate polynomial equations
2012
Luis Javier Hernández Paricio
Miguel Marañón Grandes
María Teresa Rivas Rodríguez
+
PDF
Chat
Plotting basins of end points of rational maps with Sage
2012
Luis Javier Hernández Paricio
Miguel Marañón Grandes
María Teresa Rivas Rodríguez
+
A completion construction for continuous dynamical systems
2012
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
An approach to dynamical systems using exterior spaces
2010
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Fundamental groups and finite sheeted coverings
2009
Luis Javier Hernández Paricio
Vlasta Matijević
+
PDF
Chat
Exact Sequences and Closed Model Categories
2009
Mónica García Pinillos
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Combinatorial koszul homology, computations and applications
2008
Luis Javier Hernández Paricio
Werner M. Seiler
Eduardo Sáenz‐de‐Cabezón
+
PDF
Chat
Homotopy Categories for Simply Connected Torsion Spaces
2005
Luis Javier Hernández Paricio
+
PDF
Chat
Postnikov factorizations at infinity
2004
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Closed Simplicial Model Structures for Exterior and Proper Homotopy Theory
2004
J.M. García-Calcines
M. Garcia-Pinillos
Luis Javier Hernández Paricio
+
Closed model categories for uniquely S-divisible spaces
2003
Luis Javier Hernández Paricio
+
Homotopía propia simplicial
2002
J.M. García-Calcines
Sergio Rodríguez Machín
Luis Javier Hernández Paricio
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Sequential homology☆☆The authors acknowledge the financial aid given by the DGES, project PB96-0740, the University of La Rioja, project API-98/B14, and the DGUI of Canarias.
2001
J.M. García-Calcines
Luis Javier Hernández Paricio
+
Fundamental progroupoid and bundles with a structural category
1999
Sergio Ardanza-Trevijano
Luis Javier Hernández Paricio
+
Models for torsion homotopy types
1998
Carles Casacuberta
José L. Rodrı́guez
Luis Javier Hernández Paricio
+
PDF
Chat
A closed simplicial model category for proper homotopy and shape theories
1998
J.M. García-Calcines
M. Garcia-Pinillos
Luis Javier Hernández Paricio
+
PDF
Chat
Fundamental pro-groupoids and covering projections
1998
Luis Javier Hernández Paricio
+
PDF
Chat
A closed model category for (𝑛-1)-connected spaces
1996
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Closed model categories for the <i>n</i>-type of spaces and simplicial sets
1995
Carmen Elvira-Donazar
Luis Javier Hernández Paricio
+
PDF
Chat
Applications of simplicial 𝑀-sets to proper and strong shape theories
1995
Luis Javier Hernández Paricio
+
Proper $CW$-complexes: A category for the study of proper homotopy
1988
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
+
Una (Co)homología propia para espacios con varios finales
1988
María Teresa Rivas Rodríguez
Luis Javier Hernández Paricio
José Ignacio Extremiana Aldana
+
Clases de homotopía propia de una superficie no compacta en el plano euclídeo
1987
Luis Javier Hernández Paricio
+
An example of homotopy theory in abelian groups
1982
Luis Javier Hernández Paricio
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Un ejemplo de teoría de homotopia en los grupos abelianos
1980
Luis Javier Hernández Paricio
Common Coauthors
Coauthor
Papers Together
María Teresa Rivas Rodríguez
24
J.M. García-Calcines
14
José Ignacio Extremiana Aldana
7
Miguel Marañón Grandes
3
José Manuel Gutiérrez Jiménez
3
M. Garcia-Pinillos
2
Jaime Martín Fernández Cestau
1
Sergio Rodríguez Machín
1
Eduardo Sáenz‐de‐Cabezón
1
Sergio Ardanza-Trevijano
1
V. Álvarez-Aparicio
1
José L. Rodrı́guez
1
Carmen Elvira-Donazar
1
José Ignacio Extreminana-Aldana
1
Werner M. Seiler
1
Carles Casacuberta
1
Miguel Marañón-Grandes
1
Mónica García Pinillos
1
Vlasta Matijević
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Čech and Steenrod Homotopy Theories with Applications to Geometric Topology
1976
David A. Edwards
Harold M. Hastings
10
+
Limit and end functors of dynamical systems via exterior spaces
2013
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
9
+
Čech and Steenrod homotopy and the Quigley exact couple in strong shape and proper homotopy theory
1982
Timothy Porter
9
+
PDF
Chat
A closed simplicial model category for proper homotopy and shape theories
1998
J.M. García-Calcines
M. Garcia-Pinillos
Luis Javier Hernández Paricio
9
+
Rational Homotopy Theory
1969
Daniel Quillen
9
+
Calculus of Fractions and Homotopy Theory
1967
Peter Gabriel
Michel Zisman
8
+
PDF
Chat
A completion construction for continuous dynamical systems
2016
J.M. García-Calcines
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
7
+
PDF
Chat
Exact Sequences and Closed Model Categories
2009
Mónica García Pinillos
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
7
+
Closed Simplicial Model Structures for Exterior and Proper Homotopy Theory
2004
J.M. García-Calcines
M. Garcia-Pinillos
Luis Javier Hernández Paricio
7
+
PDF
Chat
Plotting basins of end points of rational maps with Sage
2012
Luis Javier Hernández Paricio
Miguel Marañón Grandes
María Teresa Rivas Rodríguez
7
+
PDF
Chat
An exact sequence from the nth to the (n-1)-st fundamental group
1973
J. D. Quigley
7
+
Proper Homotopy Theory
1995
Timothy Porter
7
+
Sheaves in Geometry and Logic
1994
Saunders Mac Lane
Ieke Moerdijk
6
+
Iteration of Rational Functions
1991
Robert L. Devaney
Alan F. Beardon
6
+
Graphic and numerical comparison between iterative methods
2002
Juan Malumbres
6
+
PDF
Chat
Homotopical Algebra
1967
Daniel Quillen
6
+
PDF
Chat
An isomorphism theorem of Hurewicz type in the proper homotopy category
1989
J. Extremiana
Luis A. Hernández-Ibáñez
Manuel A. Rivas
5
+
Influence of the multiplicity of the roots on the basins of attraction of Newton’s method
2013
J.M. Gutiérrez
Luis Javier Hernández Paricio
Miguel Marañón-Grandes
María Teresa Rivas Rodríguez
5
+
Bivariate Newton-Raphson method and toroidal attraction basins
2015
Luis Javier Hernández Paricio
5
+
PDF
Chat
Homotopy groups of pro-spaces
1976
Jerrold W. Grossman
5
+
Homotopy Theories and Model Categories
1995
W. G. Dwyer
Jan Spaliński
5
+
The obstruction to finding a boundary for an open manifold : of dimension greater than five
1967
Laurence Carl Siebenmann
5
+
PDF
Chat
Applications of simplicial 𝑀-sets to proper and strong shape theories
1995
Luis Javier Hernández Paricio
5
+
Review of some iterative root-finding methods from a dynamical point of view
2004
Sergio Amat
Sonia Busquier
Sergio Plaza
4
+
Simplicial Homotopy Theory: Progress in Mathematics 174
1999
P.G. Goess
John F. Jardine
Paul G. Goerss
4
+
Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method
2016
J.M. Gutiérrez
L. J. Hernández
Á. Alberto Magreñán
M. T. Rivas
4
+
Infinite simple homotopy types
1970
L. C. Siebenmann
4
+
PDF
Chat
A closed model category for (𝑛-1)-connected spaces
1996
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
4
+
Graphical representations for the homogeneous bivariate Newton’s method
2015
J.M. García-Calcines
J.M. Gutiérrez
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
4
+
PDF
Chat
Simplicial Homotopy Theory
2009
Paul G. Goerss
John F. Jardine
4
+
PDF
Chat
Cellular Spaces, Null Spaces and Homotopy Localization
1996
Emmanuel Dror Farjoun
4
+
A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category
2007
J.M. García-Calcines
Pedro Ruymán García-Díaz
Aniceto Murillo
3
+
The localization of spaces with respect to homology
1975
A. K. Bousfield
3
+
Models for torsion homotopy types
1998
Carles Casacuberta
José L. Rodrı́guez
Luis Javier Hernández Paricio
3
+
Groupes D'Homotopie Et Classes De Groupes Abeliens
1953
Jean-Pierre Serre
3
+
Self-overlays and symmetries of Julia sets of expanding maps
2018
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
3
+
Stability, attraction and shape: a topological study of flows
2011
José Manuel Rodríguez Sanjurjo
3
+
PDF
Chat
Simplicial Homotopy Theory
1999
Paul G. Goerss
John F. Jardine
3
+
Cayley’s problem and Julia sets
1984
Heinz‐Otto Peitgen
Dietmar Saupe
Fritz von Haeseler
3
+
Prodiscrete groups and Galois toposes
1989
Ieke Moerdijk
3
+
JULIA SET OF THE NEWTON TRANSFORMATION FOR SOLVING SOME COMPLEX EXPONENTIAL EQUATION
2009
Xingyuan Wang
Xuejing Yu
3
+
An approach to dynamical systems using exterior spaces
2010
José Ignacio Extremiana Aldana
Luis Javier Hernández Paricio
María Teresa Rivas Rodríguez
3
+
Global analogues of the Brown–Grossman proper homotopy groups of an end
1988
L. J. Hernández
Timothy Porter
3
+
Symmetries of the Julia sets of Newton’s method for multiple root
2010
Weifeng Yang
3
+
Julia sets of Newton’s method for a class of complex-exponential function F(z)=P(z)e Q(z)
2010
Xingyuan Wang
Yi-Ke Li
Yuanyuan Sun
Jun-Mei Song
Feng-Dan Ge
3
+
The localization of spectra with respect to homology
1979
A. K. Bousfield
3
+
PDF
Chat
Categories for the Working Mathematician
1971
Saunders Mac Lane
3
+
Morse equations and unstable manifolds of isolated invariant sets
2003
José Manuel Rodríguez Sanjurjo
3
+
Limit and end functors of dynamical systems via exterior spaces
2012
J.M. García-Calcines
L.Hernandez Paricio
María Teresa Rivas Rodríguez
3
+
Complex analysis with Mathematica
2007
William T. Shaw
3