A new tool to study the fixed point property of finite posets

Ana Gargantini; Miguel Ottina

A new tool to study the fixed point property of finite posets

Algebraic Topology 2019-07-09 v1 Combinatorics

Authors: Ana Gargantini , Miguel Ottina

Abstract

We develop a novel tool to study the fixed point property of finite posets using a topological approach. Our tool is a construction which turns out to induce an endofunctor of the homotopy category of finite $T_0$ --spaces. We study many properties of this construction and give several examples of application.

Keywords

finite posets fixed point property topological approach homotopy category endofunctor finite t0 spaces

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@article{arxiv.1907.03681,
  title  = {A new tool to study the fixed point property of finite posets},
  author = {Ana Gargantini and Miguel Ottina},
  journal= {arXiv preprint arXiv:1907.03681},
  year   = {2019}
}

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21 pages

A new tool to study the fixed point property of finite posets

Abstract

Keywords

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