Non homeomorphic hereditarily weakly Koszmider spaces

Autor(es)

Villa Barbeiro, Andre Santoleri ^[1] ; dos Santos Fajardo, Rogerio Augusto ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508900 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 265, SEP 15 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/10254-3 - Métodos de combinatória infinita em análise funcional
• Beneficiário: Rogerio Augusto dos Santos Fajardo
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/25574-8 - Geometria dos espaços de Banach
• Beneficiário: Valentin Raphael Henri Ferenczi
• Modalidade de apoio: Auxílio à Pesquisa - Temático