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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.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…