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.
This publication is cited in the following 10 articles:
S. S. Volosivets, “Generalized Multiple Multiplicative Fourier Transform and Estimates of Integral Moduli of Continuity”, Math. Notes, 115:4 (2024), 528–537
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
G. F. Djabbarov, “A triple of infinite iterates of the functor of positively homogeneous functionals”, Siberian Adv. Math., 29:3 (2019), 190–201
K. Begzhanova, “Metrization of a space of weakly additive functionals”, Russian Math. (Iz. VUZ), 62:3 (2018), 1–5
Shakhmatov D., Valov V., Yamauchi T., “Linear Extension Operators of Bounded Norms”, J. Math. Anal. Appl., 466:1 (2018), 952–960
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
B. I. Golubov, S. S. Volosivets, Industrial and Applied Mathematics, Industrial Mathematics and Complex Systems, 2017, 129