Cover Image

On countable- to-one B-measurable mappings

This paper considers countable-to-one B-measurable mappings of complete separable zero-dimensional uncountable spaces. It is proved that if a set ofthe first category of the space is excluded there exists a dense set of points of local homeomorphism on the remaining set.

Saved in:

Bibliographic Details
Date:	2017
Author Affiliations:	О. В. Сафонова — Київський національний університет імені Тараса Шевченка
Keywords:	keywords
Main Authors:	Safonova, O. V., Сафонова, О. В.
Format:	Article
Language:	Ukrainian
Published:	Інститут математики НАН України 2017
Online Access:	https://trim.imath.kiev.ua/index.php/trim/article/view/116
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Transactions of Institute of Mathematics of NAS of Ukraine
Download file:

Institution

Transactions of Institute of Mathematics of NAS of Ukraine

Similar Items

On countable-to-one B-measurable mappings
by: O. V. Safonova
Published: (2017)

On a set of the second category of countable levels of continuous mappings
by: Ju. Ju. Trokhimchuk, et al.
Published: (2013)

Discontinuity points of separately continuous mappings with at most countable set of values
by: V. K. Masliuchenko, et al.
Published: (2019)

Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type
by: C. Izuchukwu, et al.
Published: (2019)

On multivalued zero-dimensional mappings
by: Zelinskii, Yu. B., et al.
Published: (2015)

On the strong existence and uniqueness to a solution of a countable system of SDEs with measurable drift
by: A. Pilipenko, et al.
Published: (2014)

On universality of countable powers of absolute retracts
by: Банах, Т.О., et al.
Published: (1996)

On the multiplicity of multivalued mappings of domains on manifolds
by: Ju. B. Zelinskij, et al.
Published: (2015)

On one class of quaternionic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)

On multivalued zero-dimensional mappings
by: Ju. B. Zelinskij, et al.
Published: (2015)

Embeddings into countably compact Hausdorff spaces
by: T. Banakh, et al.
Published: (2023)

On Countable Almost Invariant Partitions of G-Spaces
by: A. B. Kharazishvili
Published: (2014)

On countable almost invariant partitions of g-spaces
by: Kharazishvili, A.B.
Published: (2014)

Quasisymmetric mappings in b-metric spaces
by: E. A. Petrov, et al.
Published: (2021)

Variants of a lattice of partitions of a countable set
by: Desiateryk, O.O., et al.
Published: (2018)

The inverse Poletsky inequality in one class of mappings
by: Ye. O. Sevostianov
Published: (2022)

Invariant measures with respect to the mapping of the segment on itself
by: I. L. Nizhnik, et al.
Published: (2015)

Invariant measures with respect to the mapping of the segment on itself
by: Nizhnik, I. L., et al.
Published: (2015)

On local behavior of one class of inverse mappings
by: E. A. Sevostjanov, et al.
Published: (2018)

SRB measures for some stretched Hénon-like maps
by: M. Jakobson, et al.
Published: (2024)

Structure of the Systems of Orthogonal Projections Connected with Countable Coxeter Trees
by: A. A. Kyrychenko, et al.
Published: (2014)

Structure of a system of orthogonal projections connected with countable trees
by: A. A. Kyrychenko, et al.
Published: (2014)

Weakening topologies on a countable abelian group of finite exponent
by: I. Protasov
Published: (2020)

On the lower estimate of the distortion of distance for one class of mappings
by: R. R. Salimov, et al.
Published: (2018)

On the Boundary Behavior of One Class of Mappings in Metric Spaces
by: E. S. Afanaseva
Published: (2014)

On local properties of one class of mappings on Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2015)

On equicontinuity of families of mappings with one normalization condition by the prime ends
by: N. S. Ilkevych, et al.
Published: (2022)

On oscillating-type solutions of the countable system of the differential equations in resonance case
by: S. A. Shchoholev, et al.
Published: (2019)

On solutions of oscillating type of the countable differential systems with slowly varying parameters
by: S. A. Shchoholev, et al.
Published: (2016)

Pseudodifferential operators of infinite order in countable normed spaces of smooth functions
by: V. V. Horodetskyi, et al.
Published: (2013)

On strong solutions to countable systems of SDEs with interaction and non-Lipschitz drift
by: M. V. Tantsiura
Published: (2016)

On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters
by: Marchuk, N.A.
Published: (2001)

On the equicontinuity of one family of inverse mappings in terms of prime ends
by: R. R. Salimov, et al.
Published: (2018)

Arbitrary binary relations, contraction mappings, and b-metric spaces
by: S. Chandok
Published: (2020)

Kochy problem for singular evolution equations in countably normed spaces of infinitely differentiable functions. IV
by: O. V. Martyniuk
Published: (2013)

Restructuring as one of measures of strengthening of economic security of enterprises
by: Yu. Maisuradze
Published: (2012)

On the invariant tori of quasilinear countable systems of differential equations defined on infinite-dimensional tori
by: Yu. V. Teplinskyi
Published: (2020)

On the behavior of one class of mappings acting upon domains with locally quasiconformal boundary
by: Ye. Sevost’yanov, et al.
Published: (2024)

Matter as One of the Aspects of Cosmogonic Myth in the Texts by B. I. Antonych and B. Schulz
by: I. Skrypnyk
Published: (2014)

Identification in Cognitive Maps in Impulse Process Mode with Incomplete Measurement of Nodes Coordinates
by: Yu. L. Miliavskyi
Published: (2019)