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arxiv: 1810.12591 · v3 · pith:ZWKPP2RMnew · submitted 2018-10-30 · 🧮 math.AT

Homotopic distance between maps

classification 🧮 math.AT
keywords distancehomotopicmapsarisecallcasescategorycomplexity
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We show that both Lusternik-Schnirelmann category and topological complexity are particular cases of a more general notion, that we call homotopic distance between two maps. As a consequence, several properties of those invariants can be proved in a unified way and new results arise.

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