Resumen de Whitehead-Ganea approach for proper Lusternik-Schnirelmann category

José Manuel García Calcines , J. M. García-Díaz, Aniceto Murillo Mas

• We establish Whitehead and Ganea characterizations for proper LS-category. We use the embedding of the proper category into the exterior category, and construct in the latter a suitable closed model structure of Strøm type. Then, from the axiomatic LS-category arising from the exterior homotopy category we can recover the corresponding proper LS invariants. Some applications are given.