Whitehead-Ganea approach for proper Lusternik-Schnirelmann category

• Autores: José Manuel García Calcines , J. M. García-Díaz, Aniceto Murillo Mas
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 142, Nº 3, 2007, págs. 439-457
• Idioma: inglés
• DOI: 10.1017/s0305004106009960
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• Resumen

  • 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.