EuDML | Browse

Page 1

Displaying 1 – 4 of 4

Baireness of $C_{k} (X)$ for ordered $X$

Michael Granado, Gary Gruenhage (2006)

Commentationes Mathematicae Universitatis Carolinae

We show that if $X$ is a subspace of a linearly ordered space, then $C_{k} (X)$ is a Baire space if and only if $C_{k} (X)$ is Choquet iff $X$ has the Moving Off Property.

Base-base paracompactness and subsets of the Sorgenfrey line

Strashimir G. Popvassilev (2012)

Mathematica Bohemica

A topological space $X$ is called base-base paracompact (John E. Porter) if it has an open base $ℬ$ such that every base $ℬ^{'} \subseteq ℬ$ has a locally finite subcover $𝒞 \subseteq ℬ^{'}$ . 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.

Bi-quotient images of ordered spaces.

Kočinac, Lj. (1986)

Publications de l'Institut Mathématique. Nouvelle Série

Boundaries in digital planes.

Khalimsky, Efim, Kopperman, Ralph, Meyer, Paul R. (1990)

Journal of Applied Mathematics and Stochastic Analysis