x A Pedagogical History of Compactness

作者:Raman Sundstrom Manya*
来源:American Mathematical Monthly, 2015, 122(7): 619-635.
DOI:10.4169/amer.math.monthly.122.7.619

摘要

This paper traces the history of compactness from the original motivating questions through the development of the definition to a characterization of compactness in terms of nets and filters. The goal of the article is to clarify the central concepts of open-cover and sequential compactness, including details that a standard textbook treatment tends to leave out.

  • 出版日期2015-9

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