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math.DSAug 27, 2018
8
citations (OpenAlex)
authors
  • Jonathan Ariel Barmak
  • Marian Mrozek
  • Thomas Wanner
institutions
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • George Mason University
  • Jagiellonian University
  • Universidad de Buenos Aires
arXiv abstractPDF
paper

A Lefschetz fixed point theorem for multivalued maps of finite spaces

arXiv:1808.08985 · doi:10.1007/s00209-019-02333-6

Abstract

We prove a version of the Lefschetz fixed point theorem for multivalued maps F:X⊸X in which X is a finite T0​ space.

arXiv comment21 pages

References in corpus (1)

  • Presentation complexes with the fixed point property

Cited by in corpus (2)

  • Combinatorial vs. classical dynamics: Recurrence
  • Creating Semiflows on Simplicial Complexes from Combinatorial Vector Fields
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