Topological geometrical categories

The topological geometrical categories form a special class of topological categories over Set and a special class of concrete geometrical categories. They are described in an abstract way with their morphisms forming a complete regular legitimate category TGC . They are proved to be precisely the c...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2002-03, Vol.168 (2), p.177-187
Main Author: Diers, Yves
Format: Article
Language:English
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Summary:The topological geometrical categories form a special class of topological categories over Set and a special class of concrete geometrical categories. They are described in an abstract way with their morphisms forming a complete regular legitimate category TGC . They are proved to be precisely the categories of affine sets over a fixed algebra for a many-sorted infinitary algebraic theory.
ISSN:0022-4049
1873-1376
DOI:10.1016/S0022-4049(01)00095-0