Work

Perfectly normal nonrealcompact spaces under Martin's Maximum

Year: 2024

Type: article

Abstract: We analyze the behavior of a perfectly normal nonrealcompact space on such that for every , is ‐open and is ‐closed under Martin's Maximum. We show that there exists a club subset of such that for a stationary subset of , for all ‐open neighborhood of , there exists such that for all , is unbounded in .

Source: Mathematical logic quarterly

DOI: 10.1002/malq.202400002

Author: Tetsuya Ishiu

Institution: Miami University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,760

OpenAlex ID: W4403473993

FWCI:

Cites: 7

Cited by:

Related to: 10