Resolvability of A-, CA- and PCA-sets in compacta

The resolvability of A-sets of uncountable dispersion character and CA-sets and PCA-sets, without isolated points in Hausdorff compacta is proved. Examples of a Hausdorff countably compact irresolvable space, a Hausdorff σ-compact irresolvable space of uncountable dispersion character and two σ-comp...

Full description

Saved in:
Bibliographic Details
Published in:Topology and its applications 1997, Vol.80 (1), p.161-167
Main Author: Malykhin, V.I.
Format: Article
Language:English
Subjects:
A-sets
CA-sets
Compact space
PCA-sets
Resolvability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The resolvability of A-sets of uncountable dispersion character and CA-sets and PCA-sets, without isolated points in Hausdorff compacta is proved. Examples of a Hausdorff countably compact irresolvable space, a Hausdorff σ-compact irresolvable space of uncountable dispersion character and two σ-compact Tychonoff spaces whose difference is an irresolvable space of uncountable dispersion character are constructed. A number of problems are raised.
ISSN:0166-8641
1879-3207
DOI:10.1016/S0166-8641(96)00161-7