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Matematicheskie Zametki, 2011, Volume 89, Issue 3, Pages 331–341
DOI: https://doi.org/10.4213/mzm9052
(Mi mzm9052)
 

This article is cited in 10 scientific papers (total in 10 papers)

Extenders and ϰ-Metrizable Compacta

V. M. Valov

Nipissing University
References:
Abstract: A characterization of ϰ-metrizable compacta in terms of extension of functions and upper semicontinuous compact-valued retractions to superextensions is established.
Keywords: Dugundji spaces, ϰ-metrizable spaces, spaces with closed` binary normal subbases, superextensions.
Received: 06.08.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 3, Pages 319–327
DOI: https://doi.org/10.1134/S0001434611030011
Bibliographic databases:
Document Type: Article
UDC: 515.124
Language: Russian
Citation: V. M. Valov, “Extenders and ϰ-Metrizable Compacta”, Mat. Zametki, 89:3 (2011), 331–341; Math. Notes, 89:3 (2011), 319–327
Citation in format AMSBIB
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\by V.~M.~Valov
\paper Extenders and $\varkappa$-Metrizable Compacta
\jour Mat. Zametki
\yr 2011
\vol 89
\issue 3
\pages 331--341
\mathnet{http://mi.mathnet.ru/mzm9052}
\crossref{https://doi.org/10.4213/mzm9052}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2856714}
\transl
\jour Math. Notes
\yr 2011
\vol 89
\issue 3
\pages 319--327
\crossref{https://doi.org/10.1134/S0001434611030011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955622331}
Linking options:
  • https://www.mathnet.ru/eng/mzm9052
  • https://doi.org/10.4213/mzm9052
  • https://www.mathnet.ru/eng/mzm/v89/i3/p331
  • This publication is cited in the following 10 articles:
    1. S. S. Volosivets, “Generalized Multiple Multiplicative Fourier Transform and Estimates of Integral Moduli of Continuity”, Math. Notes, 115:4 (2024), 528–537  mathnet  mathnet  crossref  crossref
    2. G. F. Dzhabbarov, M. M. Zhabborov, “Metrizatsiya prostranstva slabo additivnykh sokhranyayuschikh poryadok odnorodnykh funktsionalov”, Geometriya i topologiya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 197, VINITI RAN, M., 2021, 88–94  mathnet  crossref
    3. G. F. Djabbarov, “A triple of infinite iterates of the functor of positively homogeneous functionals”, Siberian Adv. Math., 29:3 (2019), 190–201  mathnet  crossref  crossref
    4. K. Begzhanova, “Metrization of a space of weakly additive functionals”, Russian Math. (Iz. VUZ), 62:3 (2018), 1–5  mathnet  crossref  isi
    5. Shakhmatov D., Valov V., Yamauchi T., “Linear Extension Operators of Bounded Norms”, J. Math. Anal. Appl., 466:1 (2018), 952–960  crossref  mathscinet  zmath  isi  scopus
    6. S. S. Volosivets, M. A. Kuznetsova, “Generalized p-Adic Fourier Transform and Estimates of Integral Modulus of Continuity in Terms of This Transform”, P-Adic Num Ultrametr Anal Appl, 10:4 (2018), 312  crossref
    7. B. I. Golubov, S. S. Volosivets, Industrial and Applied Mathematics, Industrial Mathematics and Complex Systems, 2017, 129  crossref
    8. Banakh T., Radul T., “F-Dugundji Spaces, F-Milutin Spaces and Absolute F-Valued Retracts”, Topology Appl., 179:SI (2015), 34–50  crossref  mathscinet  zmath  isi  scopus
    9. Alkins R., Valov V., “Functional Extenders and Set-Valued Retractions”, J. Math. Anal. Appl., 399:1 (2013), 306–314  crossref  mathscinet  zmath  isi  scopus
    10. V. Valov, “A selection theorem for set-valued maps into normally supercompact spaces”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 2-3, 99–105  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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