Polyhedrality for twisted sums with $C(ω^α)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929752385781760 |
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| author | Castillo, Jesús M. F. Alarcón, Alberto Salguero |
| author_facet | Castillo, Jesús M. F. Alarcón, Alberto Salguero |
| contents | We obtain two partial answers to the 3-space problem for isomorphic polyhedrality: (1) every twisted sum of $C(α)$, $α<ω_1$, with a separable isomorphically polyhedral space with the BAP, is isomorphically polyhedral. (2) Every twisted sum of $c_0(κ)$ and a Banach space having a boundary with property $(*)$ has a boundary with property $(*)$, hence it is isomorphically polyhedral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polyhedrality for twisted sums with $C(ω^α)$ Castillo, Jesús M. F. Alarcón, Alberto Salguero Functional Analysis Primary 46B03, 46M18, Secondary 54D30, 46B20 We obtain two partial answers to the 3-space problem for isomorphic polyhedrality: (1) every twisted sum of $C(α)$, $α<ω_1$, with a separable isomorphically polyhedral space with the BAP, is isomorphically polyhedral. (2) Every twisted sum of $c_0(κ)$ and a Banach space having a boundary with property $(*)$ has a boundary with property $(*)$, hence it is isomorphically polyhedral. |
| title | Polyhedrality for twisted sums with $C(ω^α)$ |
| topic | Functional Analysis Primary 46B03, 46M18, Secondary 54D30, 46B20 |
| url | https://arxiv.org/abs/2502.17001 |