Search Results - "TKACHUK, V.V."

Polarization-resolved near-field characterization of coupling between a bus waveguide and a ring resonator by Tkachuk, V.V., Korterik, J.P., Chang, L., Offerhaus, H.L.

“…Light propagation in Photonic integrated circuits (PICs), which can nowadays involve complex systems of light-guiding structures, is measured with different…”
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A compact space K is Corson compact if and only if C(K) has a dense lc-scattered subspace by Tkachuk, V.V.

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Some criteria for $C_p(X)$ to be an $L\Sigma(\le\o)$-space by Tkachuk, V.V.

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Polish cofinality in spaces of bounded functions by Tkachuk, V.V.

“…It is proved that Cp(X,[0,1]) is pseudocompact if and only if it has a dense cofinally Polish subspace. We also establish that Cp(X,[0,1]) is pseudocomplete if…”
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If C(X) is strongly dominated by a second countable space, then X is countable by Guerrero Sánchez, D., Tkachuk, V.V.

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Strong domination by countable and second countable spaces by Tkachuk, V.V.

“…We show that, for a Lindelöf Σ-space X, if Cp(X,[0,1]) is strongly dominated by a second countable space, then X is countable. Under Martin's Axiom we prove…”
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Functional countability in GO spaces by Tkachuk, V.V., Wilson, R.G.

“…We prove that, for any GO space X, if ext(X)≤ω and X is either scattered or locally countable, then X is functionally countable. Every functionally countable…”
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If Cp(X) is strongly dominated by a second countable space, then X is countable by Guerrero Sánchez, D., Tkachuk, V.V.

“…We establish that a Tychonoff space X is countable if and only if Cp(X) is strongly dominated by a second countable space. The same is true for a compact space…”
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SOME CRITERIA FOR CP(X) TO BE AN L∑ (≤ ω)-SPACE by TKACHUK, V.V.

“…Given a cardinal κ say that X is an LΣ(< κ )-space (LΣ(≤ κ)-space) if X has a countable network ℱ with respect to a cover of X by compact subspaces of weight…”
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Mitrofan Michailovich Choban: A life devoted to mathematics (1942–2021) by Kenderov, P.S., Tkachenko, M., Tkachuk, V.V.

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Quantitative comparison of excitation modes of tuning forks for shear force in probe microscopy by Tkachuk, V.V., Korterik, J.P., Offerhaus, H.L.

“…This article provides a careful comparison between the electric and mechanical excitation of a tuning fork for shear force feedback in scanning probe…”
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Monotone pseudobase assignments and Lindelöf Σ-property by Tkachuk, V.V.

“…We introduce and study the spaces with κ-monotone pseudo-network (pseudobase) assignment. We show that the respective classes are invariant under arbitrary…”
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On discrete reflexivity of Lindelöf degree and pseudocharacter by Alas, O.T., Tkachuk, V.V., Wilson, R.G.

“…We establish that any Hausdorff discretely κ-Lindelöf space X must be κ-Lindelöf if t(X)≤κ. Besides, in κ-Lindelöf spaces whose tightness does not exceed κ,…”
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The Collins–Roscoe property and its applications in the theory of function spaces by Tkachuk, V.V.

“…A space X has the Collins–Roscoe property if we can assign, to each x∈X, a family G(x) of subsets of X in such a way that for every set A⊂X, the family…”
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SELF-TRANSVERSAL SPACES AND THEIR DISCRETE SUBSPACES by JUHÁSZ, I., TKACHENKO, M.G., TKACHUK, V.V., WILSON, R.G.

“…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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A monotone version of the Sokolov property and monotone retractability in function spaces by Rojas-Hernández, R., Tkachuk, V.V.

“…We introduce the monotone Sokolov property and show that it is dual to monotone retractability in the sense that X is monotonically retractable if and only if…”
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Monolithic spaces and D-spaces revisited by Tkachuk, V.V.

“…We introduce the classes of monotonically monolithic and strongly monotonically monolithic spaces. They turn out to be reasonably large and with some nice…”
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Domination by second countable spaces and Lindelöf Σ-property by Cascales, B., Orihuela, J., Tkachuk, V.V.

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Classes defined by stars and neighbourhood assignments by van Mill, J., Tkachuk, V.V., Wilson, R.G.

“…We apply and develop an idea of E. van Douwen used to define D-spaces. Given a topological property P , the class P ∗ dual to P (with respect to neighbourhood…”
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Box products are often discretely generated by Tkachuk, V.V., Wilson, R.G.

“…A space X is discretely generated if for any A ⊂ X and x ∈ A ¯ there exists a discrete set D ⊂ A such that x ∈ D ¯ . We prove that if X t is a monotonically…”
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