Search Results - "Banakh, T."

The b-Gelfand–Phillips property for locally convex spaces by Banakh, T., Gabriyelyan, S.

“…We extend the well-known Gelfand–Phillips property for Banach spaces to locally convex spaces, defining a locally convex space E to be b -Gelfand–Phillips if…”
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A simple Efimov space with sequentially-nice space of probability measures by Banakh, T., Gabriyelyan, S.

“…Under Jensen’s diamond principle ♢ , we construct a simple Efimov space K whose space of nonatomic probability measures P na ( K ) is first-countable and…”
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Josefson–Nissenzweig property for Cp-spaces by Banakh, T., Ka̧kol, J., Śliwa, W.

“…The famous Rosenthal–Lacey theorem asserts that for each infinite compact space K the Banach space C ( K ) admits a quotient isomorphic to Banach spaces c or ℓ…”
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THE COARSE CLASSIFICATION OF COUNTABLE ABELIAN GROUPS by BANAKH, T., HIGES, J., ZARICHNYI, I.

“…We prove that two countable locally finite-by-abelian groups G, H endowed with proper left-invariant metrics are coarsely equivalent if and only if their…”
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Descriptive Complexity of the Sizes of Subsets of Groups by Banakh, T. O., Protasov, I. V., Protasova, K. D.

“…We study the Borel complexity of some basic families of subsets of a countable group (large, small, thin, sparse, etc.) determined by the sizes of their…”
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On thin-complete ideals of subsets of groups by Banakh, T., Lyaskovska, N.

“…Let be a left-invariant lower family of subsets of a group G . A subset A  ⊂  G is called - thin if for any distinct elements x , y ∈ G . The family of all…”
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Detecting topological groups which are (locally) homeomorphic to LF-spaces by Banakh, T., Mine, K., Repovš, D., Sakai, K., Yagasaki, T.

“…We prove that a topological group G is (locally) homeomorphic to an LF-space if G=⋃n∈ωGn for some increasing sequence of subgroups (Gn)n∈ω such that(1)for any…”
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Completeness of invariant ideals in groups by Banakh, T., Lyaskovska, N.

“…We introduce and study various notions of completeness of translation-invariant ideals in groups…”
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Means on scattered compacta by Banakh, T., Bonnet, R., Kubis, W.

“…We prove that a separable Hausdor_ topological space X containing a cocountable subset homeomorphic to [0, ω ] admits no separately continuous mean operation…”
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Controlled Hahn–Mazurkiewicz Theorem and some new dimension functions of Peano continua by Banakh, T., Tuncali, M.

“…Given a metric Peano continuum X we introduce and study the Hölder Dimension Hö-dim ( X ) = inf { d : there is a 1 d -Hölder onto map f : [ 0 , 1 ] → X } of X…”
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Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts by Banakh, T., Voytsitskyy, R.

“…We characterize metric spaces X whose hyperspaces 2 X (or Bd ( X ) ) of non-empty closed (bounded) subsets, endowed with the Hausdorff metric, are absolute…”
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On the Ck-stable closure of the class of (separable) metrizable spaces by Banakh, T., Gabriyelyan, S.

“…Denote by C k [ M ] the C k -stable closure of the class M of all metrizable spaces, i.e., C k [ M ] is the smallest class of topological spaces that contains…”
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On the $$C_k$$ C k -stable closure of the class of (separable) metrizable spaces by Banakh, T., Gabriyelyan, S.

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Josefson–Nissenzweig property for $$C_{p}$$Cp-spaces by Banakh, T., Ka̧kol, J., Śliwa, W.

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Extending binary operations to funtor-spaces by T. O. Banakh, V. M. Gavrylkiv

“…Given a continuous monadic functor $T:CompoComp$ in thecategory of compacta and a discrete topological semigroup $X$ weextend the semigroup operation…”
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Bases in finite groups of small order by Banakh, T.O., Gavrylkiv, V.M.

“…A subset $B$ of a group $G$ is called a basis of $G$ if each element $g\in G$ can be written as $g=ab$ for some elements $a,b\in B$. The smallest cardinality…”
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On unconditionally convergent series in topological rings by Banakh, T.O., Ravsky, A.V.

“…We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the…”
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Extension of functions and metrics with variable domains by Banakh, T., Stasyuk, I., Tymchatyn, E.D., Zarichnyi, M.

“…Let (X,d) be a complete, bounded, metric space. For a nonempty, closed subset A of X denote by C⁎(A×A) the set of all continuous, bounded, real-valued…”
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Hyperspaces of nowhere topologically complete spaces by Banakh, T., Cauty, R.

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Scattered Subsets of Groups by Banakh, T. O., Protasov, I. V., Slobodianiuk, S. V.

“…We define scattered subsets of a group as asymptotic counterparts of the scattered subspaces of a topological space and prove that a subset A of a group G is…”
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