Uniform homeomorphisms in interpolation scales of Banach spaces families
Immersions and isomorphisms between spaces of continuous functions
Set-theoretic topological methods on operators on Banach spaces of the form C(K)
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508900 Sao Paulo, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Topology and its Applications; v. 265, SEP 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
It was claimed in a previous work of the second author that, assuming Jensen's diamond principle (lozenge), there exists a hereditarily Koszmider space. We notice that there is a gap in that proof. It is still true, under lozenge, that there exists a hereditarily weakly Koszmider space and we prove that there is even a family (K-xi)(xi) <2(c), of weakly Koszmider spaces such that C(K-xi) and C(K-eta) are essentially incomparable, for xi not equal eta. In particular, Axiom lozenge implies the existence of 2(c) non-homeomorphic Efimov's spaces. (C) 2019 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 18/10254-3 - Methods of infinite combinatorics in functional analysis |
| Grantee: | Rogerio Augusto dos Santos Fajardo |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/25574-8 - Geometry of Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Projects - Thematic Grants |