English

Cauchy filters from Pelant's games

General Topology 2013-10-08 v1 Functional Analysis

Abstract

The language of finite games is used to rephrase Pelant's proof of his result: The separable modification of the complete metric space C([0,ω1])C([0,\omega_1]) is not complete.

Cite

@article{arxiv.1310.1808,
  title  = {Cauchy filters from Pelant's games},
  author = {Jan Pachl},
  journal= {arXiv preprint arXiv:1310.1808},
  year   = {2013}
}

Comments

6 pages

R2 v1 2026-06-22T01:41:45.315Z