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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Almost-normality of Isbell-Mrowka spaces

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Author(s):
Rodrigues, Vinicius de Oliveira [1] ; Ronchim, Victor dos Santos [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Topology and its Applications; v. 288, FEB 1 2021.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 17/15502-2 - Mad Families, Forcing and Combinatorial Principles in Topology
Grantee:Vinicius de Oliveira Rodrigues
Support Opportunities: Scholarships in Brazil - Doctorate