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L.S. category of the total space in a fibration and k-monomorphisms

✍ Scribed by Maxence Cuvilliez

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 193 KB
Volume: 109
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00155-8

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✦ Synopsis

Let F ι → E f B be a fibration, we focus on the relation between the homotopy invariants cat E, cat F and cat B. The general formula due to Hardie says that cat E (cat ι + 1) • (cat f + 1) -1; if the fibration is trivial, this upper bound can be replaced by cat F + cat B. In this paper, we introduce a notion of k-triviality and construct upper bound for cat E in terms of k, cat ι and cat f .

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