Title: COMETIC FUNCTORS FOR SMALL CONCRETE CATEGORIES AND AN APPLICATION
Abstract: Our goal is to derive some families of maps, also known as func- tions, from injective maps and surjective maps; this can be useful in various elds of mathematics. Let A be a small concrete category. We dene a functor Fcom, called cometic functor, from A to the category Set and a natural trans- formation com , called cometic projection, from Fcom to the inclusion functor of A into Set such that the Fcom-image of every monomorphism of A is an injective map and the components of com are surjective maps. Also, we give a nontrivial application of Fcom and com .
Publication Year: 2015
Publication Date: 2015-08-04
Language: en
Type: preprint
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