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Fibration models and localisation of categories

✍ Scribed by Luca Mauri

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 302 KB
Volume: 180
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00209-8

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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