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arxiv: 1605.07093 · v2 · pith:GZJ4EH4Nnew · submitted 2016-05-23 · 🧮 math.AT

Maps of Degree 1 and Lusternik--Schnirelmann Category

classification 🧮 math.AT
keywords categorydegreelusternik--schnirelmanncloseddiscussdomaingivenmanifolds
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Given a map $f: M \to N$ of degree 1 of closed manifolds. Is it true that the Lusternik--Schnirelmann category of the range of the map is not more that the category of the domain? We discuss this and some related questions.

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