Spaces where all bijections are morphisms

Lucas H. R. de Souza

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arXiv · 2401.04381

Spaces where all bijections are morphisms

Lucas H. R. de Souza

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Abstract

Here we classify all topological spaces where all bijections to itself are homeomorphisms. As a consequence, we also classify all topological spaces where all maps to itself are continuous. Analogously, we classify all measurable spaces where all bijections to itself are measurable with measurable inverse. As a consequence, we also classify all measurable spaces where all maps to itself are measurable.

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BibTeX RIS

Lucas H. R. de Souza. 2024-01-09. Spaces where all bijections are morphisms. https://arxiv.org/abs/2401.04381

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