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A Lefschetz fixed point theorem for multivalued maps of finite spaces

Dynamical Systems 2020-05-29 v1 Algebraic Topology

Abstract

We prove a version of the Lefschetz fixed point theorem for multivalued maps F:XXF:X\multimap X in which XX is a finite T0T_0 space.

Keywords

Cite

@article{arxiv.1808.08985,
  title  = {A Lefschetz fixed point theorem for multivalued maps of finite spaces},
  author = {Jonathan Ariel Barmak and Marian Mrozek and Thomas Wanner},
  journal= {arXiv preprint arXiv:1808.08985},
  year   = {2020}
}

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21 pages