Last Updated
：2025/12/03
Brouwer fixed-point theorem
Proper noun
Japanese Meaning
ブロウワーの不動点定理：位相数学における定理で、n次元の単位立方体（ℝⁿ内）からその立方体自身への連続写像は必ず固定点、すなわち写像によって動かされない一点を持つことを示すもの
Quizzes for review
(topology) A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point.
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Brouwer fixed-point theorem
During the seminar, the professor used a simple two-dimensional illustration to explain the Brouwer fixed-point theorem, which states that any continuous map from an n-dimensional unit cube to itself has a fixed point.
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During the seminar, the professor used a simple two-dimensional illustration to explain the Brouwer fixed-point theorem, which states that any continuous map from an n-dimensional unit cube to itself has a fixed point.
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