A random Bockstein operator

As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has been given to understanding the probabilistic properties of methods that use homo...

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2018
1. Verfasser: Zabka, M.J.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/188366
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:A random Bockstein operator / M.J. Zabka // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 311–321. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Zabka, M.J.
author_facet Zabka, M.J.
citation_txt A random Bockstein operator / M.J. Zabka // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 311–321. — Бібліогр.: 5 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has been given to understanding the probabilistic properties of methods that use homological groups in topological data analysis, the probabilistic properties of methods that employ cohomology operations remain unstudied. In this paper, we investigate the Bockstein operator with randomness in a strictly algebraic setting.
first_indexed 2025-12-01T23:20:43Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-01T23:20:43Z
publishDate 2018
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Zabka, M.J.
2023-02-25T15:10:08Z
2023-02-25T15:10:08Z
2018
A random Bockstein operator / M.J. Zabka // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 311–321. — Бібліогр.: 5 назв. — англ.
1726-3255
2010 MSC: 08, 55.
https://nasplib.isofts.kiev.ua/handle/123456789/188366
As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has been given to understanding the probabilistic properties of methods that use homological groups in topological data analysis, the probabilistic properties of methods that employ cohomology operations remain unstudied. In this paper, we investigate the Bockstein operator with randomness in a strictly algebraic setting.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
A random Bockstein operator
Article
published earlier
spellingShingle A random Bockstein operator
Zabka, M.J.
title A random Bockstein operator
title_full A random Bockstein operator
title_fullStr A random Bockstein operator
title_full_unstemmed A random Bockstein operator
title_short A random Bockstein operator
title_sort random bockstein operator
url https://nasplib.isofts.kiev.ua/handle/123456789/188366
work_keys_str_mv AT zabkamj arandombocksteinoperator
AT zabkamj randombocksteinoperator