25 citations · 26 across the 7 of their papers we have counts for
9 papers
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study of the notion of fibration in the setting of abstract simplicial complexes, where the concept of `homotopy' has been replaced by that of `contiguity…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…
Whitehead and Ganea constructions for fibrewise sectional category
J. M. Garcia-Calcines
We introduce the notion of fibrewise sectional category via a Whitehead-Ganea construction. Fibrewise sectional category is the analogue of the ordinary sectional category in the f…