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arXiv · 1907.03681

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

Ana Gargantini·Miguel Ottina
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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.

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BibTeXRIS

Ana Gargantini, Miguel Ottina. 2019-07-08. A new tool to study the fixed point property of finite posets. https://arxiv.org/abs/1907.03681

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