25 citations · 27 across the 8 of their papers we have counts for
10 papers
Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents
V. Álvarez-Aparicio, J. M. Garc\'ıa-Calcines, L. J. Hernández-Paricio +1
The objective of this work is twofold. One, we develop a theory of iteration for complex rational functions so that the problems of overflow and indeterminacy caused by null, or al…
A stable framework for proper and exterior homotopy and cohomology theories
Antonio Ceres, José M. García-Calcines, Aniceto Murillo
We develop a stable framework for exterior homotopy theory and apply it to proper homotopy theory. Starting from a known simplicial model structure on the category of exterior spac…
Proper topological complexity
Jose M. Garcia-Calcines, Aniceto Murillo
We introduce and study the proper topological complexity of a given configuration space, a version of the classical invariant for which we require that the algorithm controlling th…
Formal aspects on parametrized topological complexity and its pointed version
J. M. Garcia-Calcines
The notion of parametrized topological complexity, introduced by Cohen, Farber and Weinberger, is extended to fibrewise spaces which are not necessarily Hurewicz fibrations. After…
Simplicial fibrations
D. Fernández-Ternero, J. M. García Calcines, E. Macías-Virgós +1
We undertake a systematic study of the notion of fibration in the setting of abstract simplicial complexes, where the concept of `homotopy' has been replaced by that of `contiguity…
Brown representability for exterior cohomology and cohomology with compact supports
J. M. García-Calcines, P. R. García-Díaz, A. Murillo
It is well known that cohomology with compact supports is not a homotopy invariant but only a proper homotopy one. However, as the proper category lacks of general categorical prop…