English

Category bases that are equivalent to topologies

Category Theory 2021-11-02 v3 Functional Analysis

Abstract

In view of the fact that many of the most familiar examples of category bases are equivalent to some topology, it is natural to ask whether category bases are always topological in nature. The answer is in the negative. In this paper, we show that under certain circumstances, a category base can be equivalent to a topology. So this work may be considered a continuation of similar type of works done earlier in this area.

Keywords

Cite

@article{arxiv.2110.00930,
  title  = {Category bases that are equivalent to topologies},
  author = {Abhit Chandra Pramani and Sanjib Basu and Atashi Deb Ray},
  journal= {arXiv preprint arXiv:2110.00930},
  year   = {2021}
}

Comments

Some changes are required as indicated by Prof Kenneth Schilling

R2 v1 2026-06-24T06:34:53.748Z