Abstract:
Maximal linked systems (MLS) and ultrafilters (u/f) on
a widely understood measurable space (this is a nonempty set with
equipment in the form of π-system with «zero» and «unit»)
are investigated. Under equipment with topology of Wallman type,
the set of MLS is converted into a supercompact T1-space.
Conditions under which given space of MLS is a supercompactum
(i. e., a supercompact T2-space) are investigated. These conditions then apply
to the space of u/f under equipment with topology of Wallman type.
The obtained conditions are coordinated with representations
obtained under degenerate cases of bitopological spaces with
topologies of Wallman and Stone types, but they are not the last to
be exhausted.
The research was funded by the Russian Foundation for Basic Research (project no. 18–01–00410).
Received: 02.02.2020
Bibliographic databases:
Document Type:
Article
UDC:519.6
Language: Russian
Citation:
A. G. Chentsov, “Some topological properties of the space of maximal linked systems with topology of Wallman type”, Izv. IMI UdGU, 56 (2020), 122–137
\Bibitem{Che20}
\by A.~G.~Chentsov
\paper Some topological properties of the space of maximal linked systems with topology of Wallman type
\jour Izv. IMI UdGU
\yr 2020
\vol 56
\pages 122--137
\mathnet{http://mi.mathnet.ru/iimi406}
\crossref{https://doi.org/10.35634/2226-3594-2020-56-09}
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https://www.mathnet.ru/eng/iimi406
https://www.mathnet.ru/eng/iimi/v56/p122
This publication is cited in the following 2 articles:
Lj. D. R. Kočinac, F. G. Mukhamadiev, A. K. Sadullaev, M. I. Akhmedov, SIXTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2022), 2879, SIXTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2022), 2023, 020004
A. G. Chentsov, “Maksimalnye stseplennye sistemy na proizvedeniyakh shiroko ponimaemykh izmerimykh prostranstv”, Vestnik rossiiskikh universitetov. Matematika, 26:134 (2021), 182–215
Citation in format AMSBIB
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