"free category" meaning in English

See free category in All languages combined, or Wiktionary

Noun

Forms: free categories [plural]
Head templates: {{en-noun}} free category (plural free categories)
  1. (category theory) A category that is induced by a multidigraph thus: it has as its objects the vertices of the multidigraph and its morphisms are paths in the multidigraph; composition of morphisms is concatenation of paths, as long as the end of one path coincides with the beginning of the other path; an identity morphism of an object is an “empty path” at that vertex. Wikipedia link: free category Categories (topical): Category theory Hyponyms: free monoid

Inflected forms

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Download raw JSONL data for free category meaning in English (1.5kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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