Banach-Stone-like results for combinatorial Banach spaces

Autor(es)

Brech, C. ^[1] ; Pina, C. ^{[2, 3]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: ANNALS OF PURE AND APPLIED LOGIC; v. 172, n. 8 AUG-SEP 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/25574-8 - Geometria dos espaços de Banach
• Beneficiário: Valentin Raphael Henri Ferenczi
• Modalidade de apoio: Auxílio à Pesquisa - Temático