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On the mapping theorem for Lusternik-Schnirelmann category

✍ Scribed by Yves Felix; Jean-Michel Lemaire


Book ID
107865098
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
209 KB
Volume
24
Category
Article
ISSN
0040-9383

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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