Small MAD families whose Isbell-Mrowka space has pseudocompact hyperspace

Rodrigues, Vinicius de Oliveira; Tomita, Artur Hideyuki

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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.)

Small MAD families whose Isbell-Mrowka space has pseudocompact hyperspace

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Author(s):	Rodrigues, Vinicius de Oliveira ^[1] ; Tomita, Artur Hideyuki ^[1] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Math & Stat, Rua Matao 1010, Sao Paulo - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	FUNDAMENTA MATHEMATICAE; v. 247, n. 1, p. 99-108, 2019.
Web of Science Citations:	0
Abstract
We prove that it is consistent that there exists a MAD family A of cardinality omega(1) < c such that the Vietoris hyperspace of its Isbell-Mrowka space, CL(Psi(()A)), is pseudocompact. In the same model, there exist MAD families A(1), A(2) such that CL(Psi(A(1))) is pseudocompact but CL(Psi(A(2))) is not. (AU)

FAPESP's process:	16/26216-8 - Topology and sets
Grantee:	Artur Hideyuki Tomita
Support Opportunities:	Regular Research Grants


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

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