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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Accès en ligne: | https://arxiv.org/abs/2603.29524 |
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| _version_ | 1866911556697063424 |
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| author | Mangioni, Giorgio Tesolin, Francesco |
| author_facet | Mangioni, Giorgio Tesolin, Francesco |
| contents | We generalise the Milnor-Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris-Rips complex, and builds on work of Chung-Martínez-Szakács. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29524 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric Inverse Semigroup Theory: a note on the Milnor-Schwarz Lemma for inverse monoids Mangioni, Giorgio Tesolin, Francesco Group Theory Geometric Topology 20F65, 20M18 (Primary) We generalise the Milnor-Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris-Rips complex, and builds on work of Chung-Martínez-Szakács. |
| title | Geometric Inverse Semigroup Theory: a note on the Milnor-Schwarz Lemma for inverse monoids |
| topic | Group Theory Geometric Topology 20F65, 20M18 (Primary) |
| url | https://arxiv.org/abs/2603.29524 |