On 3-topological version of -regularity.
On a characterization of normal and countably paracompact spaces via set-avoiding selections
We give a characterization of normal and countably paracompact spaces via continuous set-avoiding selections.
On a class of almost discrete, abstract
On a Corson space of Todorčević
On a Michael's conjecture concerning the Lindelöf property in the Cartesian products
On a problem of Sikorski
On a problem of Tamano
On a selection theorem of Blum and Swaminathan
Blum and Swaminathan [Pacific J. Math. 93 (1981), 251–260] introduced the notion of -fixedness for set-valued mappings, and characterized realcompactness by means of continuous selections for Tychonoff spaces of non-measurable cardinal. Using their method, we obtain another characterization of realcompactness, but without any cardinal assumption. We also characterize Dieudonné completeness and Lindelöf property in similar formulations.
On almost countably compact spaces
On bicompacta which are unions of spaces defined by means of coverings
On Carathéodory type selections
On closed inverse images of base-paracompact spaces.
On co-lc topologies
On collections of domains inscribed in a covering of a space in the sense of Alexandroff and Urysohn
On countably paracompact spaces and closed maps
On covering properties by regular closed sets.
On -property of strong spaces
It is shown that every strong space is a -space. In particular, it follows that every paracompact space is a -space.
On d-paracompactness and related properties
On embeddings into where is Lindelöf
A.V. Arkhangel’skii asked that, is it true that every space of countable tightness is homeomorphic to a subspace (to a closed subspace) of where is Lindelöf? denotes the space of all continuous real-valued functions on a space with the topology of pointwise convergence. In this note we show that the two arrows space is a counterexample for the problem by showing that every separable compact linearly ordered topological space is second countable if it is homeomorphic to a subspace of ...
On extensions of uniformly continuous Banach-space-valued mappings