3 papers
math.AT2019
Classification of exterior and proper fibrations
Jose Manuel García-Calcines, Pedro Ruymán García-Díaz, Aniceto Murillo
We classify exterior fibrations in the exterior homotopy category. As a result we also classify proper fibrations between CW-complexes.
math.AT2014
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…
math.AT2006
Inductive Lusternik-Schnirelmann category in a model category
J. M. Garcia-Calcines, P. R. Garcia-Diaz
We introduce the notion of inductive category in a model category and prove that it agrees with the Ganea approach given by Doeraene. This notion also coincides with the topologica…