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String structures and the path fibration of a group

✍ Scribed by A. L. Carey; M. K. Murray


Publisher
Springer
Year
1991
Tongue
English
Weight
640 KB
Volume
141
Category
Article
ISSN
0010-3616

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L.S. category of the total space in a fi
✍ Maxence Cuvilliez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 193 KB

Let F ΞΉ β†’ 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 ΞΉ + 1) β€’ (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