English

Precompact Apartness Spaces

Logic in Computer Science 2015-07-01 v4 General Topology

Abstract

We present a notion of precompactness, and study some of its properties, in the context of apartness spaces whose apartness structure is not necessarily induced by any uniform one. The presentation lies entirely with a Bishop-style constructive framework, and is a contribution to the ongoing development of the constructive theories of apartness and uniformity.

Keywords

Cite

@article{arxiv.1205.2931,
  title  = {Precompact Apartness Spaces},
  author = {Douglas S Bridges},
  journal= {arXiv preprint arXiv:1205.2931},
  year   = {2015}
}
R2 v1 2026-06-21T21:03:13.003Z