Open AccessSpaces where all bijections are morphismsOpen Access
Author(s)
Lucas H. R. de Souza
Publication year2024
Here we classify all topological spaces where all bijections to itself arehomeomorphisms. As a consequence, we also classify all topological spaces whereall maps to itself are continuous. Analogously, we classify all measurablespaces where all bijections to itself are measurable with measurable inverse.As a consequence, we also classify all measurable spaces where all maps toitself are measurable.
Language(s)English
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