Some relations between topological and algebraic properties of topological groups
Hartman, S.
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Displaying similar documents to “Projectivity, injectivity and duality”
Some relations between topological and algebraic properties of topological groups
Identifying and distinguishing various varieties of abelian topological groups
Carolyn E. McPhail, Sidney A. Morris
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A variety of topological groups is a class of (not necessarily Hausdorff) topological groups closed under the operations of forming subgroups, quotient groups and arbitrary products. The variety of topological groups generated by a class of topological groups is the smallest variety containing the class. In this paper methods are presented to distinguish a number of significant varieties of abelian topological groups, including the varieties generated by (i) the class of all locally...
On Mackey topologies in topological abelian groups.
Barr, Michael, Kleisli, Heinrich (2001)
Theory and Applications of Categories [electronic only]
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Krzysztof Krupiński (2005)
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Fundamenta Mathematicae
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Janusz Grabowski, Wojciech Wojtyński (1990)
Colloquium Mathematicae
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Martin Ziegler, Rüdiger Göbel (1988/89)
Mathematische Zeitschrift
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A note on clean abelian groups
Brendan Goldsmith, Peter Vámos (2007)
Rendiconti del Seminario Matematico della Università di Padova
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A note on the isomorphism of modular group algebras of -mixed Abelian groups with divisible -components.
Danchev, Peter (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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On Schwartz groups
L. Außenhofer, M. J. Chasco, X. Domínguez, V. Tarieladze (2007)
Studia Mathematica
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We introduce a notion of a Schwartz group, which turns out to be coherent with the well known concept of a Schwartz topological vector space. We establish several basic properties of Schwartz groups and show that free topological Abelian groups, as well as free locally convex spaces, over hemicompact k-spaces are Schwartz groups. We also prove that every hemicompact k-space topological group, in particular the Pontryagin dual of a metrizable topological group, is a Schwartz group. ...