Last Updated
：2025/11/28
smash product
Noun
Japanese Meaning
数学において、２つの基地付き空間（基点付き位相空間）XとYに対し、積空間X×Yにおいて、すべてのx∈Xおよびy∈Yに対し、(x,基点)と(基点,y)を同一視する同値関係によって作られる商空間。通常、X∧Yと表記される。
（ plural ）
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(mathematics) For two pointed spaces (i.e. topological spaces with distinguished basepoints) X and Y, the quotient of the product space X × Y under the identifications (x, y₀) ∼ (x₀, y) for all x ∈ X and y ∈ Y; usually denoted X ∧ Y.
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smash product
In algebraic topology, the smash product of two pointed spaces is fundamental to defining reduced cohomology operations.
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In algebraic topology, the smash product of two pointed spaces is fundamental to defining reduced cohomology operations.
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