Work

Resolvability in c.c.c. generic extensions

Year: 2017

Type: article

Abstract: Every crowded space $X$ is $ω$-resolvable in the c.c.c generic extension $V^{Fn(|X|,2})$ of the ground model. We investigate what we can say about $λ$-resolvability in c.c.c-generic extensions for $λ>ω$? A topological space is "monotonically $ω_1$-resolvable" if there is a function $f:X\to {ω_1}$ such that $$\{x\in X: f(x)\ge α \}\subset^{dense}X $$ for each $α

Source: Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)

DOI: 10.48550/arxiv.1702.00326

Authors: Soukup, Lajos, Stanley, Adrienne

Institutions: University of Northern Iowa, HUN-REN Alfréd Rényi Institute of Mathematics

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Hungarian Scientific Research Fund

OpenAlex ID: W4299826069