On a classification of pointwise compact sets of the first Baire class functions
On a theorem of P. S. Aleksandrov
On analyticity in cosmic spaces
We prove that a cosmic space (= a Tychonoff space with a countable network) is analytic if it is an image of a -analytic space under a measurable mapping. We also obtain characterizations of analyticity and -compactness in cosmic spaces in terms of metrizable continuous images. As an application, we show that if is a separable metrizable space and is its dense subspace then the space of restricted continuous functions is analytic iff it is a -space iff is -compact.
On approximation of Baire functions by Darboux functions
On Baire approximations of normal integrands
On Baire isomorphisms of non-metrizable compacta
On common fixed points, periodic points, and recurrent points of continuous functions.
On decomposition of spaces on meager sets
On functions with the set of discontinuity points belonging to some -ideal
On internal composants of indecomposable plane continua
On quasi-p-bounded subsets
The notion of quasi-p-boundedness for p ∈ is introduced and investigated. We characterize quasi-p-pseudocompact subsets of β(ω) containing ω, and we show that the concepts of RK-compatible ultrafilter and P-point in can be defined in terms of quasi-p-pseudocompactness. For p ∈ , we prove that a subset B of a space X is quasi-p-bounded in X if and only if B × is bounded in X × , if and only if , where is the set of Rudin-Keisler predecessors of p.
On rings of Darboux functions
On some test spaces in dimension theory
On Surjective Bing Maps
In [7], M. Levin proved that the set of all Bing maps of a compact metric space to the unit interval is a dense -subset of the space of all maps. In [6], J. Krasinkiewicz independently proved that the set of all Bing maps of a compact metric space to an n-dimensional manifold (n ≥ 1) is a dense -subset of the space of maps. In [9], J. Song and E. D. Tymchatyn, solving some problems of J. Krasinkiewicz ([6]), proved that the set of all Bing maps of a compact metric space to a nondegenerate connected...
On the almost Lindelöf property in products of separable metric spaces
On the Baire order problem for a linear lattice of functions
On the sum and difference of two sets in topological vector spaces
On the Uniform Convergence of Sequences of Open First Baire Class Functions.
On transfinite sequences of mappings
On transformations of sets in