Almost-normality of Isbell-Mrowka spaces

Autor(es)

Rodrigues, Vinicius de Oliveira ^[1] ; Ronchim, Victor dos Santos ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Topology and its Applications; v. 288, FEB 1 2021.
• Citações Web of Science: 0

Resumo

We explore almost-normality in Isbell-Mrowka spaces and some related concepts. We use forcing to provide an example of an almost-normal not normal almost disjoint family, explore the concept of semi-normality in Isbell-Mrowka spaces, define the concept of strongly (N-0, < 0-separated almost disjoint families and prove the generic existence of completely separable strongly (N-0, < 0-separated almost disjoint families assuming s = c and b = c. We also provide an example of a Tychonoff almost-normal not normal pseudocompact space which is not countably compact, answering a question from P. Szeptycki and S. Garcia-Balan. (C) 2020 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 17/15502-2 - Mad Families, Forcing e Princípios Combinatórios em Topologia
• Beneficiário: Vinicius de Oliveira Rodrigues
• Modalidade de apoio: Bolsas no Brasil - Doutorado