"smash product" meaning in English

See smash product in All languages combined, or Wiktionary

Noun

Forms: smash products [plural]
Head templates: {{en-noun}} smash product (plural smash products)
  1. (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. Wikipedia link: smash product Categories (topical): Mathematics Related terms: smash power
    Sense id: en-smash_product-en-noun-Pp1vrNpx Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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  "head_templates": [
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      "expansion": "smash product (plural smash products)",
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  "lang_code": "en",
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  "senses": [
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          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "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."
      ],
      "id": "en-smash_product-en-noun-Pp1vrNpx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "basepoint",
          "basepoint"
        ],
        [
          "quotient",
          "quotient"
        ],
        [
          "identification",
          "identification"
        ],
        [
          "∧",
          "∧"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "related": [
        {
          "word": "smash power"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "smash product"
      ]
    }
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  "word": "smash product"
}
{
  "forms": [
    {
      "form": "smash products",
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  "related": [
    {
      "word": "smash power"
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  "senses": [
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        "English countable nouns",
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        "English lemmas",
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        "English nouns",
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        "en:Mathematics"
      ],
      "glosses": [
        "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."
      ],
      "links": [
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        [
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          "identification"
        ],
        [
          "∧",
          "∧"
        ]
      ],
      "raw_glosses": [
        "(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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    }
  ],
  "word": "smash product"
}

Download raw JSONL data for smash product meaning in English (1.3kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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