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Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 2, Pages 407–440
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001124 (Mi im1721) 		 
This article is cited in 43 scientific papers (total in 43 papers)

On ϰ-metrizable space

E. V. Shchepin
English version PDF (1660 kB) Citations (43) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1980v014n02ABEH001124
Abstract: In this paper the author studies spaces in which one can define a “distance” from points to canonically closed sets (the ϰ-metric). It is proved that products of metric spaces and locally compact groups are examples of such spaces, and in these cases the ϰ-metric can be constructed so that an analogue of the triangle axiom is satisfied. The topological structure of ϰ-metrizable compact Hausdorff spaces is studied.
Bibliography: 26 titles.
Received: 02.06.1978
Bibliographic databases:
Document Type: Article
UDC: 513.83
MSC: Primary 54D15, 54E35, 54E99; Secondary 28C10, 54A25, 54F05, 54B20, 54B35
Language: English
Original paper language: Russian
Citation: E. V. Shchepin, “On ϰ-metrizable space”, Math. USSR-Izv., 14:2 (1980), 407–440
Citation in format AMSBIB
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\by E.~V.~Shchepin
\paper On~$\varkappa$-metrizable space
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 2
\pages 407--440
\mathnet{http://mi.mathnet.ru/eng/im1721}
\crossref{https://doi.org/10.1070/IM1980v014n02ABEH001124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534603}
\zmath{https://zbmath.org/?q=an:0436.54024|0409.54040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM96800012}
Linking options:
  • https://www.mathnet.ru/eng/im1721
  • https://doi.org/10.1070/IM1980v014n02ABEH001124
  • https://www.mathnet.ru/eng/im/v43/i2/p442
    • This publication is cited in the following 43 articles:
    1. David Milovich, “Team games, hypergraph spaces, and projective Boolean algebras”, Topology and its Applications, 323 (2023), 108291  crossref
    2. A. A. Ivanov, “Normal functors and paranormality”, Moscow University Mathematics Bulletin, 76:6 (2021), 271–273  mathnet  crossref  mathscinet  zmath
    3. Maha M. Saeed, Shaza Alawadi, “On the 𝑯-space and the product of two 𝑯-spaces”, Int. j. adv. appl. sci., 8:3 (2021), 51  crossref
    4. Dmitri Shakhmatov, Vesko Valov, Takamitsu Yamauchi, “Linear extension operators of bounded norms”, Journal of Mathematical Analysis and Applications, 466:1 (2018), 952  crossref
    5. N. Antonyan, S. Antonyan, M. Sanchis, Developments in Mathematics, 55, Pseudocompact Topological Spaces, 2018, 217  crossref
    6. Radul T., “Absolute Extensors and Binary Monads”, Appl. Categ. Struct., 25:2 (2017), 269–278  crossref  isi
    7. David Milovich, “On the Strong Freese-Nation Property”, Order, 34:1 (2017), 91  crossref
    8. Mikhail Tkachenko, “Lindelöf Σ-Spaces and R-Factorizable Paratopological Groups”, Axioms, 4:3 (2015), 254  crossref
    9. Fucai Lin, “Pseudocompact rectifiable spaces”, Topology and its Applications, 2014  crossref
    10. David Milovich, “The (λ,κ)-Freese-Nation Property for Boolean Algebras and Compacta”, Order, 29:2 (2012), 361  crossref
    11. V. M. Valov, “Extenders and $\varkappa$-Metrizable Compacta”, Math. Notes, 89:3 (2011), 319–327  mathnet  crossref  crossref  mathscinet
    12. B. Berckmoes, R. Lowen, J. Van Casteren, “Distances on probability measures and random variables”, Journal of Mathematical Analysis and Applications, 374:2 (2011), 412  crossref
    13. K. L. Kozlov, V. A. Chatyrko, “Topological transformation groups and Dugundji compacta”, Sb. Math., 201:1 (2010), 103–128  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    14. D. Ipate, R. Lupu, “About rings of continuous functions in the expanded field of numbers”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 1, 47–54  mathnet  mathscinet  zmath
    15. Paul Gartside, Michael Smith, “Counting the closed subgroups of profinite groups”, Journal of Group Theory, 13:1 (2010), 41  crossref
    16. S. Fisher, P. Gartside, “On the space of subgroups of a compact group II”, Topology and its Applications, 156:5 (2009), 855  crossref
    17. David Milovich, “Noetherian types of homogeneous compacta and dyadic compacta”, Topology and its Applications, 156:2 (2008), 443  crossref
    18. M. Sanchis, “Moscow spaces and selection theory”, Topology and its Applications, 155:8 (2008), 883  crossref
    19. S. V. Lyudkovskii, “Topologies and duality of $\kappa$-normed vector spaces”, Russian Math. Surveys, 61:3 (2006), 566–567  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    20. Masami Sakai, “Two properties of weaker than the Fréchet Urysohn property”, Topology and its Applications, 153:15 (2006), 2795  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    References:87
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