Registration Number
0119U100710,
(
0222U002216
)
R & D request
Title
Applications of topological arguments to solving of problems on maps defined on abstract spaces
Head
Mykhailiuk Volodymyr V., Доктор фізико-математичних наук
Registration Date
17-02-2019
Organization
Yuriy Fedkovych Chernivtsi National University
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Our project focuses on applications of topological arguments to solving of problems of functional and complex analysis, general and algebraic topology, concerning operators on space of integrable functions, operators on space of analytic functions, and also Namioka property of separately continuous maps and their analogs, the Baire classification and related questions of the dimension theory. We will investigate properties of functions of the first homotopic Baire class and solve the problem of existence of metrizable separable almost strongly zero-dimensional space of a positive dimension. Moreover, the aim of the project is to study properties of partially metric spaces and maps on partially metric spaces.
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2024-12-10