Subcategories of topological algebras

Subject Areas : History and biography

V. L. Gompa ¹

1 - Department of Mathematics, Troy University, Dothan, AL 36304, USA

Received: 2016-01-02 Accepted : 2016-03-30 Published : 2016-06-01

Keywords: Monotopolocial category, topological category, topological functors, topological algebra, Universal algebra, reflective subcategory, coreflective subcategory, epireflective subcategory,

Abstract :

In addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. In particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subcategories.

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