English

Topological Complexity Related To Multi-Valued Functions

Algebraic Topology 2023-10-26 v1

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.

Keywords

Cite

@article{arxiv.2310.16422,
  title  = {Topological Complexity Related To Multi-Valued Functions},
  author = {Melih İs},
  journal= {arXiv preprint arXiv:2310.16422},
  year   = {2023}
}

Comments

14 pages, 1 figure

R2 v1 2026-06-28T13:01:10.015Z