free category
free category noun: 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.
Noun
free category (plural free categories)
- 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.
Forms of free category
| plural | free categories |
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Questions about free category
- What does free category mean?
- Free category means 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.
- What part of speech is free category?
- Free category is a noun.
- What is the plural of free category?
- The plural of free category is free categories.
Words near free category in the dictionary
Source and license
Adapted from Wiktionary: free category (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “free category.” Word.ws, https://word.ws/free_category. Based on Wiktionary, CC BY-SA 4.0.