Publications (37) Publications de José Manuel García Calcines

2024

  1. Relative sectional category revisited

    Expositiones Mathematicae, Vol. 42, Núm. 5

2023

  1. Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents

    Topology and its Applications, Vol. 339

  2. Formal aspects of parametrized topological complexity and its pointed version

    Journal of Topology and Analysis, Vol. 15, Núm. 4, pp. 1129-1148

2022

  1. Augmented Simplicial Combinatorics through Category Theory: Cones, Suspensions and Joins

    Mathematics, Vol. 10, Núm. 4

2021

  1. Simplicial fibrations

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 115, Núm. 2

  2. Simplicial fibrations

    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), Vol. 115, Núm. 2, pp. 17

2020

  1. Classification of exterior and proper fibrations

    Proceedings of the American Mathematical Society, Vol. 148, Núm. 7, pp. 3175-3185

2019

  1. A note on covers defining relative and sectional categories

    Topology and its Applications, Vol. 265

  2. Regions of attraction, limits and end points of an exterior discrete semi-flow

    Homology, Homotopy and Applications, Vol. 21, Núm. 2, pp. 83-106

2017

  1. Omega limits, prolongational limits and almost periodic points of a continuous flow via exterior spaces

    Glasnik Matematicki, Vol. 52, Núm. 2, pp. 295-329

2015

  1. Graphical representations for the homogeneous bivariate Newton's method

    Applied Mathematics and Computation, Vol. 269, pp. 988-1006

2014

  1. A completion construction for continuous dynamical systems

    Topological Methods in Nonlinear Analysis, Vol. 44, Núm. 2, pp. 497-526

  2. Brown representability for exterior cohomology and cohomology with compact́ supports

    Journal of the London Mathematical Society, Vol. 90, Núm. 1, pp. 184-196

  3. Relative category and monoidal topological complexity

    Topology and its Applications, Vol. 171, pp. 41-53

  4. Whitehead and Ganea constructions for fibrewise sectional category

    Topology and its Applications, Vol. 161, Núm. 1, pp. 215-234

2013

  1. Limit and end functors of dynamical systems via exterior spaces

    Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 20, Núm. 5, pp. 937-959

  2. Topological complexity and the homotopy cofibre of the diagonal map

    Mathematische Zeitschrift, Vol. 274, Núm. 1-2, pp. 145-165

2012

  1. A remark on proper partitions of unity

    Topology and its Applications, Vol. 159, Núm. 15, pp. 3363-3371

  2. Abstract sectional category

    Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 19, Núm. 3, pp. 485-505

2010

  1. On proper and exterior sequentiality

    Applied Categorical Structures, Vol. 18, Núm. 6, pp. 653-668