English

Cantor-Kuratowski theorem in uniformizable spaces

General Topology 2018-04-13 v1

Abstract

This manuscript extends the Cantor-Kuratowski intersection theorem from the setting of metric spaces to the setting of uniformizable spaces. Complete uniformizable spaces are revisited.

Keywords

Cite

@article{arxiv.1804.04468,
  title  = {Cantor-Kuratowski theorem in uniformizable spaces},
  author = {Josiney A. Souza and Richard W. M. Alves},
  journal= {arXiv preprint arXiv:1804.04468},
  year   = {2018}
}
R2 v1 2026-06-23T01:21:38.769Z