A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category-Reference-Cited by-同舟云学术

A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category

Published:2007-05 Issue:3 Volume:142 Page:439-457
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

GARCÍA–CALCINES J. M.,GARCÍA–DÍAZ P. R.,MAS A. MURILLO

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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