Affordable Access

Publisher Website

Partitioning bases of topological spaces

Authors
Journal
Electronic Notes in Discrete Mathematics
1571-0653
Publisher
Elsevier
Publication Date
Volume
43
Identifiers
DOI: 10.1016/j.endm.2013.07.013
Keywords
  • Base Resolvable
  • Partition Problem
  • Infinite Combinatorics
Disciplines
  • Mathematics

Abstract

Abstract We investigate the general question whether a base for a topological space without isolated points can be partitioned into two bases. We prove that every base for a T3 Lindelöf topology can be partitioned into two bases while there exists a consistent example of a first countable, 0-dimensional, Hausdorff space which admits a base without a partition to two bases.

There are no comments yet on this publication. Be the first to share your thoughts.