On boundaries of bicombable spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915281974067200 |
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| author | Danielski, Daniel |
| author_facet | Danielski, Daniel |
| contents | We initiate systematic study of EZ-structures (and associated boundaries) of groups acting on spaces that admit consistent and conical (equivalently, consistent and convex) geodesic bicombings. Such spaces recently drew a lot of attention due to the fact that many classical groups act `nicely' on them. We rigorously construct EZ-structures, discuss their uniqueness (up to homeomorphism), provide examples, and prove some boundary-related features analogous to the ones exhibited by CAT(0) spaces and groups, which form a subclass of the discussed class of spaces and groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06673 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On boundaries of bicombable spaces Danielski, Daniel Group Theory Metric Geometry 20F65, 53C23, 20F67 We initiate systematic study of EZ-structures (and associated boundaries) of groups acting on spaces that admit consistent and conical (equivalently, consistent and convex) geodesic bicombings. Such spaces recently drew a lot of attention due to the fact that many classical groups act `nicely' on them. We rigorously construct EZ-structures, discuss their uniqueness (up to homeomorphism), provide examples, and prove some boundary-related features analogous to the ones exhibited by CAT(0) spaces and groups, which form a subclass of the discussed class of spaces and groups. |
| title | On boundaries of bicombable spaces |
| topic | Group Theory Metric Geometry 20F65, 53C23, 20F67 |
| url | https://arxiv.org/abs/2503.06673 |