Listar por tema "Extension of topological abelian groups"
Mostrando ítems 1-2 de 2
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On local cross sections in topological abelian groups
(Springer, 2018)[Abstract:] We introduce the notion of local pseudo-homomorphism between two topological abelian groups. We prove that it is closely related with the widely studied notions of local cross sections and splitting extensions ... -
On Local Quasi-Convexity as a Three-Space Property in Topological Abelian Groups
(Elsevier, 2021)[Abstract] Let X be a topological abelian group and H a subgroup of X. We find conditions under which local quasi-convexity of both H and results in the same property for X. This is true for instance if H is precompact, ...