Invertibility, Often
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910280813903872 |
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| author | Akin, Ethan Weiss, Benjamin |
| author_facet | Akin, Ethan Weiss, Benjamin |
| contents | By using a similar pattern of arguments, we show that in three 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. Finally, we examine continuous, measure preserving maps on Cantor spaces equipped with so-called good measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26376 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Invertibility, Often Akin, Ethan Weiss, Benjamin Dynamical Systems 54C05, 28C15, 28D05 By using a similar pattern of arguments, we show that in three 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. Finally, we examine continuous, measure preserving maps on Cantor spaces equipped with so-called good measures. |
| title | Invertibility, Often |
| topic | Dynamical Systems 54C05, 28C15, 28D05 |
| url | https://arxiv.org/abs/2603.26376 |