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arXiv:1006.4131math.HO

A pedagogical history of compactness

Manya Raman-Sundstrom

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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.

arXiv comments
This paper is a condensed, revised version of my masters thesis, completed at UC Berkeley, Fall 1997
Journal reference
DOI
Subjects
math.HOHistory and Overview

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    • A different but to my taste more mathematically conventional way to make this argument would be instead to say that a symbol is a function from the square to [0, 1], that is, a grayscale image. A symbol, because of limitations of either its writer/printer or its reader/viewer…

      tasteslikenoiseView on HNParent context

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