Hyper-extensions of -algebras
-непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. I: Теоремы существования.
-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. II. Теоремы релаксации
Le rang de Baire de la famille de toutes les fonctions ayant la propriété (K)
Lipschitz functions with unexpectedly large sets of nondifferentiability points.
Local connectivity, open homogeneity and hyperspaces.
In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains...
Measurable uniform spaces
Metric-fine, proximally fine, and locally fine uniform spaces
Note on a Theorem of Kuratowski-Sierpiński
Nowhere dense sets and real-valued functions with closed graphs.
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