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Information × Registration Number 0222U002216, 0119U100710 , R & D reports Title Applications of topological arguments to solving of problems on maps defined on abstract spaces popup.stage_title Head Mykhailiuk Volodymyr V., Доктор фізико-математичних наук Registration Date 10-02-2022 Organization Yuriy Fedkovych Chernivtsi National University popup.description2  An example of everywhere discontinuous separately continuous function defined on the product of a compact space and a Baire space is constructed. A generalization of Sierpinski theorem on determination of a separately continuous function by its values on an arbitrary everywhere dense set is obtained. The horizontal property of Egorov for vector lattices is investigated. The notion of function of the first homotopic Baire class is introduced and its equivalence to the notion of function of the first Baire class is proved. The equivalence of different types of compactness for partial metric spaces is obtained. Necessary and sufficient conditions for metrizability of partial metric spaces are established Product Description popup.authors Zvozdetskyi Taras I. Karlova Olena Oleksiyivna Maksymenko Sergiy Ivanovych Myronyk Vadym I Popov Mykhaylo Mykhaylovych popup.nrat_date 2022-03-09 Close