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Rational Lusternik–Schnirelmann category of fibrations

✍ Scribed by Maxence Cuvilliez; Yves Félix; Barry Jessup; Paul-Eugène Parent


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
201 KB
Volume
174
Category
Article
ISSN
0022-4049

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A gap theorem for Lusternik–Schnirelmann
✍ Erkki Laitinen; Takao Matumoto 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 83 KB

The Lusternik-Schnirelmann π1-category, catπ 1 X, of a topological space X is the least integer n such that X can be covered by n + 1 open subsets U0, . . . , Un, every loop in each of which is contractible in X. In this paper we will prove a gap theorem that catπ 1 M n = n -1 for any closed connect