Study of the borelian complexity of certain properties of Banach spaces
Combinatorial aspects of nonseparable Banach spaces structure
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Andes, Fac Ciencias, Dept Matemat, Merida 5101 - Venezuela
[3] Univ Ind Santander, Escuela Matemat, Bucaramanga 680001 - Colombia
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | ANNALS OF PURE AND APPLIED LOGIC; v. 172, n. 8 AUG-SEP 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We show that under a certain topological assumption on two compact hereditary families F and g on some infinite cardinal kappa, the corresponding combinatorial spaces XF and XG are isometric if and only if there is a permutation of kappa inducing a homeomorphism between F and g. We also prove that two different regular families F and g on omega cannot be permuted one to the other. Both these results strengthen the main result of {[}5]. (c) 2021 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/25574-8 - Geometry of Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Projects - Thematic Grants |