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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2011 Volume 89, Issue 3, Pages 331–341 (Mi mzm9052)

This article is cited in 10 papers

Extenders and $\varkappa$-Metrizable Compacta

V. M. Valov

Nipissing University

Abstract: A characterization of $\varkappa$-metrizable compacta in terms of extension of functions and upper semicontinuous compact-valued retractions to superextensions is established.

Keywords: Dugundji spaces, $\varkappa$-metrizable spaces, spaces with closed` binary normal subbases, superextensions.

UDC: 515.124

Received: 06.08.2009

DOI: 10.4213/mzm9052


 English version:
Mathematical Notes, 2011, 89:3, 319–327

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© Steklov Math. Inst. of RAS, 2024