Demystifying Compactness

We explain how to think about and use the open cover definition of compactness through several examples. In particular, we argue that compactness should be thought of as a finiteness condition which is algorithmic in nature.

Authors

Publication Details

Journal
Columbia journal of undergraduate mathematics.
Published
2025-09-22
DOI
https://doi.org/10.52214/cjum.v2i2.14296
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Demystifying Compactness

Emory Sun
Columbia journal of undergraduate mathematics.
Computability, Logic, AI Algorithms
article

Demystifying Compactness

Emory Sun
article en

Abstract

We explain how to think about and use the open cover definition of compactness through several examples. In particular, we argue that compactness should be thought of as a finiteness condition which is algorithmic in nature.

Columbia journal of undergraduate mathematics.Vol. 2(2)
Openalex Percentile: Top 73%
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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Demystifying Compactness — Emory Sun · Columbia journal of undergraduate mathematics. (2025) | TGRS Research Map | TGRS