A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category

Autor:	J. M. García Calcines, P. R. García–Díaz, A. Murillo Mas
Rok vydání:	2007
Předmět:	Higher category theory Pure mathematics Homotopy category Complete category General Mathematics Mathematical analysis Concrete category Mathematics::Algebraic Topology Closed category Mathematics::Category Theory Enriched category Category of sets 2-category Mathematics
Zdroj:	Mathematical Proceedings of the Cambridge Philosophical Society. 142:439-457
ISSN:	1469-8064 0305-0041
DOI:	10.1017/s0305004106009960
Popis:	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.
Databáze:	OpenAIRE
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