Perceiving Sets and Categories
نویسندگان
چکیده
منابع مشابه
Types, Sets, and Categories
This essay is an attempt to sketch the evolution of type theory from its beginnings early in the last century to the present day. Central to the development of the type concept has been its close relationship with set theory to begin with and later its even more intimate relationship with category theory. Since it is effectively impossible to describe these relationships (especially in regard t...
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It is well known that we may represent (strict) ω-categories as simplicial sets, via Street’s ω-categorical nerve construction [2]. What may be less well known, is that we may extend Street’s nerve functor to one which has been shown to be fully-faithful (Verity [3]). This is achieved by augmenting each simplicial set in the codomain of this functor with a specified subset of thin simplices and...
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ژورنال
عنوان ژورنال: Journal of Vision
سال: 2019
ISSN: 1534-7362
DOI: 10.1167/19.10.128