A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category

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 cate...

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 2007-05, Vol.142 (3), p.439-457
Main Authors: GARCÍA–CALCINES, J. M., GARCÍA–DÍAZ, P. R., MAS, A. MURILLO
Format: Article
Language:English
Subjects:
Mathematics
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Summary: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004106009960