On function spaces. III
Abstract
For topological T0-spaces X and Y, we prove that the space Y is H-sober if and only if the function space CT (X, Y) endowed with a certain topology T is H-sober.
Supporting agencies: The research was carried out in the framework of the state contract of Sobolev Institute of Mathematics, project no. FWNF-2022-0012.
About the Authors
Yu. L. Ershov
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Ershov Yurii Leonidovich
4 Acad. Koptyug Avе., Novosibirsk 630090
M. V. Schwidefsky
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Schwidefsky Marina Vladimirovna
4 Acad. Koptyug Avе., Novosibirsk 630090
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Review
For citations:
Ershov Yu.L., Schwidefsky M.V. On function spaces. III. Mathematics and Theoretical Computer Science. 2023;1(3):22-32. (In Russ.)
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