Search Results - "ARHANGEL'SKII, A. V."

On the cardinality of countable dense homogeneous spaces by ARHANGEL'SKII, A. V., VAN MILL, J.

“…We prove that a countable dense homogeneous space has size at most continuum. If moreover it is compact, then it is first-countable under the Continuum…”
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Nonhomogeneity of remainders by A. V. Arhangel'skii, J. van Mill

“…We present a cardinal inequality for the number of homeomorphisms of the remainders of compactifications of nowhere locally compact spaces. As a consequence,…”
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Some concepts of topology and questions in topological algebra by Arhangel'skii, A.V.

“…This paper has features of mixed nature. It contains new results, in particular, on semitopological groups. We also pose some problems, introduce new…”
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Homogeneity of powers of spaces and the character by A. V. Arhangel'skii

“…A space is said to be power-homogeneous if some power of it is homogeneous. We prove that if a Hausdorff space X of point-countable type is power-homogeneous,…”
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Local properties of topological spaces and remainders in compactifications by Arhangel’skii, A. V.

“…What can we say about the properties of remainders of spaces which have a certain property P locally? Below, a rather general approach to this question is…”
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On linearly Lindelöf and strongly discretely Lindelöf spaces by Arhangel’skii, A. V., Buzyakova, R. Z.

“…We prove that the cardinality of every first countable linearly Lindelöf Tychonoff space does not exceed 2^{\omega }, and every strongly discretely Lindelöf…”
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Nonnormality of remainders of some topological groups by A. V.,  Arhangel'skii, J. van, Mill

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Normality and dense subspaces by A. V. Arhangel'skii

“…In the first section of this paper, using certain powerful results in C_{p}-theory, we show that there exists a nice linear topological space X of weight…”
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The Unions of Dense Metrizable Subspaces with Certain Local Properties by Arhangel'skii, A.V., Tokgöz, S.

“…Many important examples of topological spaces can be represented as a union of a finite or countable collection of metrizable subspaces. However, it is far…”
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On power homogeneous spaces by Arhangel'skii, A.V.

“…The notion of a Moscow space [A.V. Arhangel'skii, Comment. Math. Univ. Carolinae 24 (1983) 105–120] and a new notion of a weakly Klebanov space, introduced…”
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Remainders in compactifications and generalized metrizability properties by Arhangel'skii, A.V.

“…When does a Tychonoff space X have a Hausdorff compactification with the remainder belonging to a given class of spaces? A classical theorem of Henriksen and…”
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Paratopological and semitopological groups versus topological groups by Arhangel'skii, A.V., Reznichenko, E.A.

“…Several new facts concerning topologies of paratopological and semitopological groups are established. It is proved that every symmetrizable paratopological…”
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The local properties in topological groups and related concepts and questions by Arhangel'skii, A.V.

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A characterization of \sigma-compactness of a cosmic space X by means of subspaces of R^X by A. V. Arhangel'skii, J. Calbrix

“…This work is devoted to the relationship between topological properties of a space X and those of C_{p}(X) (= the space of continuous real-valued functions on…”
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Erratum to "On Condensations of Cp-Spaces Onto Compacta" by A. V. Arhangel'skii

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On Condensations of Cp-Spaces onto Compacta by A. V. Arhangel'Skii

“…A condensation is a one-to-one onto mapping. It is established that, for each σ -compact metrizable space X, the space Cp(X) of real-valued continuous…”
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On condensations of C_{p}-spaces onto compacta by A. V. Arhangel'skii

“…A condensation is a one-to-one onto mapping. It is established that, for each \sigma -compact metrizable space X, the space C_{p}(X) of real-valued continuous…”
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A Dichotomy Theorem and other results for a class of quotients of topological groups by Arhangel'skii, A.V.

“…Topological properties of quotients of topological groups with respect to compact subgroups are investigated. It is observed that many classical results on…”
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Properties of remainders of topological groups and of their perfect images by Arhangel'skii, A.V., Choban, Mitrofan M.

“…If X is a dense subspace of a space B, then B is called an extension of X, and the subspace Y = B∖X is called a remainder of X. We study below, how the…”
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Spaces which are retracts or cofactors of paratopological groups by Arhangel'skii, A.V.

“…In this paper we investigate Tychonoff spaces which are retracts of paratopological groups. A strong necessary condition for that is the existence of a certain…”
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