Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657826 | Topology and its Applications | 2016 | 9 Pages |
Abstract
We will prove that a Tychonoff space X is analytic if and only if (X×X)\Δ(X×X)\Δ is dominated by a Polish space; here Δ={(x,x):x∈X}Δ={(x,x):x∈X} is the diagonal of X. This solves two published open questions. We will also establish under CH, that a Tychonoff space X has a countable network whenever (X×X)\Δ(X×X)\Δ is dominated by a second countable space.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
David Guerrero Sánchez, Vladimir V. Tkachuk,