English

A memo on bornologies and size functions

General Mathematics 2022-06-06 v1

Abstract

We recall the notion of abstract bornology, and connect it with topological spaces and size functions. As a generalization of measures of non-compactness, we show how every size function can be mapped to a maxitive measure.

Keywords

Cite

@article{arxiv.2206.01533,
  title  = {A memo on bornologies and size functions},
  author = {Paul Poncet},
  journal= {arXiv preprint arXiv:2206.01533},
  year   = {2022}
}

Comments

5 pages

R2 v1 2026-06-24T11:38:12.418Z