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Convexity Theories V: Extensions of Absolutely and Totally Convex Modules
Authors:D. Pumplün  H. Röhrl
Affiliation:(1) Fachbereich Mathematik, Fern Universität Gesamthochschule in Hagen, 58084 Hagen, Germany
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.
Keywords:absolutely  totally convex module  extension  coextension  (co-) product  direct sum
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