Invertibility, Often

Ethan Akin; Benjamin Weiss

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arXiv · 2603.26376

Invertibility, Often

Ethan Akin·Benjamin Weiss

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Abstract

By using a similar pattern of arguments, we show that in four categories the collection of isomorphisms forms a residual subset of the space of morphisms. We first consider surjective continuous mappings on Cantor spaces. Next, we look at measure preserving maps on Polish measure spaces. We then consider the $L^1$ representations of nonsingular maps on Polish measure spaces. Finally, we examine continuous, measure preserving maps on Cantor spaces equipped with so-called good measures.

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Ethan Akin, Benjamin Weiss. 2026-03-27. Invertibility, Often. https://arxiv.org/abs/2603.26376

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