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arXiv · 1907.03972

Fibrations between finite topological spaces

Nicolás Cianci·Miguel Ottina
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Abstract

We study Hurewicz fibrations between finite T$_0$--spaces from a combinatorial viewpoint and give strong conditions that a continuous map between finite T$_0$--spaces must satisfy in order to be a Hurewicz fibration. We also show that there exists a strong relationship between Hurewicz fibrations between finite T$_0$--spaces and Grothendieck bifibrations. Finally we give several interesting examples that illustrate this theory and show that many of the assumptions of our results are necessary.

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Nicolás Cianci, Miguel Ottina. 2019-07-09. Fibrations between finite topological spaces. https://arxiv.org/abs/1907.03972

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