What does categorical product mean?

Definitions for categorical product
cat·e·gor·i·cal prod·uct

This dictionary definitions page includes all the possible meanings, example usage and translations of the word categorical product.

Wiktionary

  1. categorical productnoun

    Given two objects X and X, their product is an object X X, with projections : X X X and : X X X, which satisfies the following universal property: for any object Y with morphisms f : Y X and f : Y X, there can naturally be constructed a unique morphism f : Y X X such that and .

  2. categorical productnoun

    The product generalizes, through associativity, to between more than two objects.

Wikipedia

  1. categorical product

    In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.

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Numerology

  1. Chaldean Numerology

    The numerical value of categorical product in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of categorical product in Pythagorean Numerology is: 2


Translations for categorical product

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"categorical product." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/categorical+product>.

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