1. Base-base paracompactness and subsets of the Sorgenfrey line
- Creator:
- Popvassilev, Strashimir G.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- base-base paracompact space, coarse base, Sorgenfrey irrationals, and totally imperfect set
- Language:
- English
- Description:
- A topological space X is called base-base paracompact (John E. Porter) if it has an open base B such that every base B ′ ⊆ B has a locally finite subcover C ⊆ B′ . It is not known if every paracompact space is base-base paracompact. We study subspaces of the Sorgenfrey line (e.g. the irrationals, a Bernstein set) as a possible counterexample.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public