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arXiv:2310.16422 [math.AT]AbstractReferencesReviewsResources

Topological Complexity Related To Multi-Valued Functions

Melih İs

Published 2023-10-25Version 1

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.

Comments: 14 pages, 1 figure
Categories: math.AT
Subjects: 32A12, 55M30, 14D06, 14F35
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