English

A pedagogical history of compactness

History and Overview 2014-06-10 v2

Abstract

This paper traces the history of compactness from the original motivating questions, through the development of the definition, to a generalization of sequential compactness in terms of nets and filters.

Keywords

Cite

@article{arxiv.1006.4131,
  title  = {A pedagogical history of compactness},
  author = {Manya Raman-Sundstrom},
  journal= {arXiv preprint arXiv:1006.4131},
  year   = {2014}
}

Comments

This paper is a condensed, revised version of my masters thesis, completed at UC Berkeley, Fall 1997