16 февр. 2014 г. · Examples of large categories are the category of sets, of groups, of topological spaces, of rings, of vector spaces, of modules, of ..... |
28 окт. 2016 г. · A category C is called small if both the collection of objects and arrows are sets. Otherwise the category is called large. |
4 мая 2018 г. · Members of the smaller universe are called small sets, and those of the larger universe are called large sets. |
12 июл. 2013 г. · A large category is simply a category whose set of objects is large, like the category of all small sets. |
9 июл. 2019 г. · If we deal with proper classes for both the objects and the morphisms, we call the category large. 4) Same as for sets. See the answers above. |
24 июн. 2018 г. · A category C is called small if both ob(C) and hom(C) are actually sets and not proper classes, and large otherwise. |
15 сент. 2013 г. · A large category is one in which both the set of objects and the set of arrows are classes (proper or otherwise). |
18 июн. 2015 г. · Can anyone give me an example of a category who is "large", neither small nor locally small? I can't think of such a category! |
20 июн. 2021 г. · There are also 1-categories which are not locally small. For example the localisation of a locally small category can have large hom sets. |
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