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To the Theory of -Sober Spaces: II. Approximation Spaces. / Kudryashova, M. I.; Schwidefsky, M. V.

In: Lobachevskii Journal of Mathematics, Vol. 46, No. 4, 21.08.2025, p. 1871-1878.

Research output: Contribution to journal › Article › peer-review

Harvard

Kudryashova, MI & Schwidefsky, MV 2025, 'To the Theory of -Sober Spaces: II. Approximation Spaces', Lobachevskii Journal of Mathematics, vol. 46, no. 4, pp. 1871-1878. https://doi.org/10.1134/S1995080225606149

APA

Kudryashova, M. I., & Schwidefsky, M. V. (2025). To the Theory of -Sober Spaces: II. Approximation Spaces. Lobachevskii Journal of Mathematics, 46(4), 1871-1878. https://doi.org/10.1134/S1995080225606149

Vancouver

Kudryashova MI, Schwidefsky MV. To the Theory of -Sober Spaces: II. Approximation Spaces. Lobachevskii Journal of Mathematics. 2025 Aug 21;46(4):1871-1878. doi: 10.1134/S1995080225606149

Author

Kudryashova, M. I. ; Schwidefsky, M. V. / To the Theory of -Sober Spaces: II. Approximation Spaces. In: Lobachevskii Journal of Mathematics. 2025 ; Vol. 46, No. 4. pp. 1871-1878.

BibTeX

@article{c2ac4e06094a4e6f9c23fbb9eb98517b,
title = "To the Theory of -Sober Spaces: II. Approximation Spaces",
abstract = "Abstract: We consider generalized sobrifications of approximation spaces and establish that they can be obtained as spaces of basic ideals defined on basic subspaces of the given spaces. As a consequence, we derive generalizations of a series of results on classical sobrifications of approximation spaces. In particular, we show that certain generalized sobrifications of such spaces are homeomorphic to their -completions.",
keywords = "-space, approximation space, sober space",
author = "Kudryashova, {M. I.} and Schwidefsky, {M. V.}",
note = "The research is supported by the Russian Science Foundation, project no. 24-11-00227. Kudryashova M. I., Schwidefsky M. V. To the Theory of -Sober Spaces: II. Approximation Spaces / M. I. Kudryashova, M. V. Schwidefsky // Lobachevskii Journal of Mathematics. – 2025. – Vol. 46, No. 4. – P. 1871-1878. – DOI 10.1134/S1995080225606149 ",
year = "2025",
month = aug,
day = "21",
doi = "10.1134/S1995080225606149",
language = "English",
volume = "46",
pages = "1871--1878",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "ФГБУ {"}Издательство {"}Наука{"}",
number = "4",

}

RIS

TY - JOUR

T1 - To the Theory of -Sober Spaces: II. Approximation Spaces

AU - Kudryashova, M. I.

AU - Schwidefsky, M. V.

N1 - The research is supported by the Russian Science Foundation, project no. 24-11-00227. Kudryashova M. I., Schwidefsky M. V. To the Theory of -Sober Spaces: II. Approximation Spaces / M. I. Kudryashova, M. V. Schwidefsky // Lobachevskii Journal of Mathematics. – 2025. – Vol. 46, No. 4. – P. 1871-1878. – DOI 10.1134/S1995080225606149

PY - 2025/8/21

Y1 - 2025/8/21

N2 - Abstract: We consider generalized sobrifications of approximation spaces and establish that they can be obtained as spaces of basic ideals defined on basic subspaces of the given spaces. As a consequence, we derive generalizations of a series of results on classical sobrifications of approximation spaces. In particular, we show that certain generalized sobrifications of such spaces are homeomorphic to their -completions.

AB - Abstract: We consider generalized sobrifications of approximation spaces and establish that they can be obtained as spaces of basic ideals defined on basic subspaces of the given spaces. As a consequence, we derive generalizations of a series of results on classical sobrifications of approximation spaces. In particular, we show that certain generalized sobrifications of such spaces are homeomorphic to their -completions.

KW - -space

KW - approximation space

KW - sober space

UR - https://www.mendeley.com/catalogue/868fe19b-bbb1-3d2c-8f9c-cf28f18b88ea/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105013889658&origin=inward

U2 - 10.1134/S1995080225606149

DO - 10.1134/S1995080225606149

M3 - Article

VL - 46

SP - 1871

EP - 1878

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

ER -

ID: 68881614