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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2024 Volume 65, Number 4, Pages 653–671 (Mi smj7881)

To the theory of H-sober spaces

M. I. Kudryashovaa, M. V. Schwidefskyab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We offer a systematic study of generalized sober spaces.

Keywords: core-compact space, sober space, $T_0$-space.

UDC: 515.122.22

MSC: 54D35, 54D10

Received: 15.04.2024
Revised: 15.04.2024
Accepted: 20.06.2024

DOI: 10.33048/smzh.2024.65.405



© Steklov Math. Inst. of RAS, 2024