smash product

noun

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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Meanings

nounsmash product (plural smash products)

plural smash products

  1. mathematicsFor 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.
Cite this entry
APA

smash product. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/smash%20product

MLA

“smash product.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/smash%20product. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “smash product,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/smash%20product.

Source: smash product on Wiktionary, CC BY-SA 4.0.