Convexity Theories V: Extensions of Absolutely and Totally Convex Modules

Author: Pumplün D.   Röhrl H.  

Publisher: Springer Publishing Company

ISSN: 0927-2852

Source: Applied Categorical Structures, Vol.8, Iss.3, 2000-09, pp. : 527-544

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Abstract

The theories of absolutely and totally convex modules are commutative theories and have many properties in common with the theory of modules. Therefore a typical module theoretic notion, namely extensions, is investigated here in these theories. Because of the close connections with Banach spaces extensions of Banach spaces are considered, too.