Search Results - "Tkachenko, M.G."
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Topological groups of Lipschitz functions and Graev metrics
Published in Journal of mathematical analysis and applications (01-04-2022)“…We study the properties of the free abelian topological group Ad(X) on a metric space (X,d) endowed with the topology generated by the Graev extension dˆ of a…”
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The weight and Lindelöf property in spaces and topological groups
Published in Topology and its applications (15-04-2017)“…We show that if Y is a dense subspace of a Tychonoff space X, then w(X)≤nw(Y)Nag(Y), where Nag(Y) is the Nagami number of Y. In particular, if Y is a Lindelöf…”
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SELF-TRANSVERSAL SPACES AND THEIR DISCRETE SUBSPACES
Published in The Rocky Mountain journal of mathematics (01-01-2005)“…A space X is called self-transversal if there is a bijection φ : X → X such that the family τ(X) U φ(τ(X)) forms a subbase of the discrete topology on X. We…”
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Continuity Properties of Discontinuous Homomorphisms and Refinements of Group Topologies
Published in Filomat (01-01-2017)“…We present several conditions on topological groupsGandHunder whicheverydiscontinuous homomorphism ofGtoHpreserves accumulation points of open sets inG. It is…”
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Comparative Analysis of Phenomenological Approximations for the Light Curves of Eclipsing Binary Stars with Additional Parameters
Published in Astrophysics (01-03-2017)“…A comparative analysis is made of special profiles of eclipses used for phenomenological modelling of the light curves of eclipsing binary stars. Families of…”
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Strong realcompactness and strong Dieudonné completeness in topological groups
Published in Topology and its applications (15-04-2012)“…We show that a topological group G is topologically isomorphic to a closed subgroup of a topological product of metrizable groups if and only if G is…”
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Dyadicity index and metrizability of compact continuous images of function spaces
Published in Topology and its applications (28-04-2005)“…We show that the dyadicity index can be increased by taking the square even in the class of second countable spaces. Besides, any compact group contains a…”
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