A gap theorem for Lusternik–Schnirelmann
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Erkki Laitinen; Takao Matumoto
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Article
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1999
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Elsevier Science
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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