Maps of degree one, relative LS category and higher topological complexities

Yuli B. Rudyak; Soumen Sarkar

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arXiv · 2011.13531

Maps of degree one, relative LS category and higher topological complexities

Yuli B. Rudyak·Soumen Sarkar

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Abstract

In this paper, we introduce relative LS category of a map and study some of its properties. Then we introduce `higher topological complexity' of a map, a homotopy invariant. We give a cohomological lower bound and compare it with previously known `topological complexity' of a map. Moreover, we study the relation between Lusternik-Schnirelmann category and topological complexity of two closed oriented manifolds connected by a degree one map.

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Yuli B. Rudyak, Soumen Sarkar. 2020-11-27. Maps of degree one, relative LS category and higher topological complexities. https://arxiv.org/abs/2011.13531

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