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A pedagogical history of compactness

  • Paper
  • 2010
  • #Math #History
Manya Raman-Sundstrom
@ManyaRamanSundstrom
(Author)
arxiv.org
Read on arxiv.org
1 Recommender
1 Mention
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 term... Show More

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.

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Steven Strogatz @StevenStrogatz ยท Nov 3, 2022
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I remember being bewildered by "compactness" as a first-year college student and wish I'd had access to this article back then. Students and teachers of advanced calculus, real analysis, and point set topology may find it helpful or even illuminating.
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