Categorial aspects of the semireflexivity

Dumitru Botnaru, Olga Cerbu

State University of Moldova, Chisinau, Moldova

Abstract: We examine the properties of semireflexive product, the relations between semireflexive subcategories, the right product of two subcategories and the factorization structures. We construct examples of semireflexive subcategories, also some problems are formulated.

Keywords and phrases: locally convex spaces, semireflexive spaces, the factorization structures, reflective subcategories, coreflective subcategories, semireflexive subcategories.

MSC: 18A40, 46A03

Received: 04.04.2011

Language: English

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