3 papers
math.AT2013
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…
math.CT2007
On proper and exterior sequentiality
L. Espanol, J. M. Garcia Calcines, M. C. Minguez
In this article a sequential theory in the category of spaces and proper maps is described and developed. As a natural extension a sequential theory for exterior spaces and maps is…
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…