13 янв. 2024 г. · A 0 0 -category (or ( 0 , 0 ) (0,0) -category) is, up to equivalence, the same as a set (or class).

0 is the additive identity and the number of items in an empty set. This category is for concepts that are related to the number zero. See also List of zero ...

Category 0 can refer to: Empty category 0, the category of no objects and no morphisms, is the initial object of the category of small categories is the ...

22 сент. 2022 г. · An ( 0 , 1 ) (0,1) -category is equivalently a proset (hence a poset).

3 июл. 2015 г. · A zero object is one that is both initial and terminal, that is, admits a unique morphism to or from any other object.

8 мая 2022 г. · Definition. The category 0, zero, is the empty category: with: no objects. and consequently: no morphisms.

14 июл. 2016 г. · Let C be a preadditive category. Let A,B be two objects and assume that C has a zero object 0 (an object both initial and terminal).

11 сент. 2017 г. · This is an abstraction of categorism. Also known as normat. The word zero-category will probably be phased out in favor of the word normat.

26 окт. 2016 г. · A poset can be seen as a (0,1)-category. I was assuming all along that an (n,r)-category were a category where all morphisms of order larger than n are trivial.

13 нояб. 2023 г. · A null object is one which is both an initial object and a terminal object. If an initial object exists in a given category, it is unique up to isomorphism.