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On g-barrelled groups and their permanence properties
(Elsevier, 2019)
[Abstract:] The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered as a natural extension of the class of barrelled topological vector spaces. In this paper we prove that ...
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 ...