Connected category
id:
connected-category-288-3067702
title:
Connected category
text:
In category theory, a branch of mathematics, a connected category is a category in which, for every two objects X and Y there is a finite sequence of objects with morphisms or for each 0 ≤ i < n. Equivalently, a category J is connected if each functor from J to a discrete category is constant. In some cases it is convenient to not consider the empty category to be connected. A stronger notion of connectivity would be to require at least one morphism f between any pair of objects X and Y. Any cat
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Connected_category
date created:
date modified:
2024-02-15T18:33:02Z
main entity:
{"identifier":"Q5161408","url":"https://www.wikidata.org/entity/Q5161408"}
image:
fields total:
13
integrity:
13