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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.)

Maximal almost disjoint families and pseudocompactness of hyperspaces

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Author(s):
Guzman, O. [1] ; Hrusak, M. [1] ; Rodrigues, V. O. [2] ; Todorcevic, S. [3] ; Tomita, A. H. [2]
Total Authors: 5
Affiliation:
[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Campus Morelia, Morelia 58089, Michoacan - Mexico
[2] Univ Sao Paulo, Inst Math & Stat, Rua Matao 1010, Sao Paulo - Brazil
[3] Univ Toronto, Dept Math, Toronto, ON M5S 2E4 - Canada
Total Affiliations: 3
Document type: Journal article
Source: Topology and its Applications; v. 305, JAN 1 2022.
Web of Science Citations: 0
Abstract

We show that all Psi-spaces associated to maximal almost disjoint families have pseudocompact Vietoris hyperspace if and only if MA(c)(P(omega)/fin) holds. We further study the question whether there is a maximal almost disjoint family whose hyperspace is pseudocompact and construct a consistent example of a maximal almost disjoint family of size omega(2) < c whose hyperspace is not pseudocompact. (C) 2021 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 19/01388-9 - Set Theory: Forcing and its Iterations
Grantee:Vinicius de Oliveira Rodrigues
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
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
FAPESP's process: 19/19924-4 - Pseudocompact groups and related properties
Grantee:Artur Hideyuki Tomita
Support Opportunities: Scholarships abroad - Research