Topological calculus for separating points from closed sets by maps

Title:

Topological calculus for separating points from closed sets by maps

Creator:

Gutiérrez García, Javier and Kubiak, Tomasz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d5e4e3e0-da75-4c82-b853-482ade834862
uuid:d5e4e3e0-da75-4c82-b853-482ade834862

Subject:

embedding, separating points from closed sets, weak separating points from closed sets, separating family, and weight

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Pointfree formulas for three kinds of separating points for closed sets by maps are given. These formulas allow controlling the amount of factors of the target product space so that it does not exceed the weight of the embeddable space. In literature, the question of how many factors of the target product are needed for the embedding has only been considered for specific spaces. Our approach is algebraic in character and can thus be viewed as a contribution to Kuratowski's topological calculus.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

257-264

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:1

Harvested from:

CDK

Metadata only:

false