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arXiv · 2310.16422

Topological Complexity Related To Multi-Valued Functions

Melih İs
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Abstract

In this paper, we deal with the robot motion planning problem in multi-valued function theory. We first enrich the multi-homotopy studies by introducing a multi-homotopy lifting property and a multi-fibration. Then we compute both a topological multi-complexity and a Lusternik-Schnirelmann multi-category of a space or a multi-fibration.

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Melih İs. 2023-10-25. Topological Complexity Related To Multi-Valued Functions. https://arxiv.org/abs/2310.16422

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