Last Updated
：2025/12/02
loopspace
Noun
Japanese Meaning
（数学）単位区間 [0,1] から始点 x₀ と終点 x₁ を持つ空間への連続写像全体からなる関数空間。各写像は 0 を x₀ に、1 を x₁ に写す。
（ plural ）
Quizzes for review
(mathematics) A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁.
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loopspace
In homotopy theory, the loopspace of a topological space relative to points x₀ and x₁ is the set of all continuous functions from the unit interval to that space which send 0 to x₀ and 1 to x₁.
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In homotopy theory, the loopspace of a topological space relative to points x₀ and x₁ is the set of all continuous functions from the unit interval to that space which send 0 to x₀ and 1 to x₁.
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