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Strong cofibrations and fibrations in enriched categories

✍ Scribed by Schwänzl, R.; Vogt, R. M.

Book ID
120104862
Publisher
Springer
Year
2002
Tongue
English
Weight
212 KB
Volume
79
Category
Article
ISSN
0003-889X

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✍ Maxence Cuvilliez 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 193 KB

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