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Theorem

Cousin's Theorem

Analysis

Cousin's theorem is a result in real analysis. It states that if every point of a closed region is assigned a circle of finite radius, then the region can be divided into finitely many subregions, each of which lies inside one of a given set of circles and contains that circle's center. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Existence Theorem 1
Proof Year
1895 1
Connections

Has Statement Form

Existence Theorem, Concepts

In Branch

Real Analysis, Branches of Mathematics
Source Cousin's Theorem (Wikipedia)
Sources
1. Cousin's Theorem (Wikipedia)
  • Lead paragraph
    originally proved by Pierre Cousin, a student of Henri Poincaré, in 1895
  • In Branch: Real Analysis, Lead sentence
    In real analysis, a branch of mathematics, Cousin's theorem states that: If for every point of a closed region (in modern terms, "
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