What does initial and terminal objects mean?

Definitions for initial and terminal objects
ini·tial and ter·minal ob·jects

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Wikipedia

  1. Initial and terminal objects

    In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X. The dual notion is that of a terminal object (also called terminal element): T is terminal if for every object X in C there exists exactly one morphism X → T. Initial objects are also called coterminal or universal, and terminal objects are also called final. If an object is both initial and terminal, it is called a zero object or null object. A pointed category is one with a zero object. A strict initial object I is one for which every morphism into I is an isomorphism.

Wikidata

  1. Initial and terminal objects

    In category theory, an abstract branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X. The dual notion is that of a terminal object: T is terminal if for every object X in C there exists a single morphism X → T. Initial objects are also called coterminal or universal, and terminal objects are also called final. If an object is both initial and terminal, it is called a zero object or null object. A pointed category is one with a zero object.

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Numerology

  1. Chaldean Numerology

    The numerical value of initial and terminal objects in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of initial and terminal objects in Pythagorean Numerology is: 7

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"initial and terminal objects." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/initial+and+terminal+objects>.

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