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Title: Strong sequences, binary families and Esenin-Volpin's theorem (English)
Author: Turzański, Marian
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 33
Issue: 3
Year: 1992
Pages: 563-569
Category: math
Summary: One of the most important and well known theorem in the class of dyadic spaces is Esenin-Volpin's theorem of weight of dyadic spaces. The aim of this paper is to prove Esenin-Volpin's theorem in general form in class of thick spaces which possesses special subbases. (English)
Keyword: strong sequence
Keyword: binary family
Keyword: dyadic space
Keyword: thick space
MSC: 05A99
MSC: 54D30
idZBL: Zbl 0796.54031
idMR: MR1209298
Date available: 2009-01-08T17:58:17Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Arhangelskii A.V.: Aproximatsia teorii diadicheskih bikompaktov (in Russian).DAN 184 (1969), 767-770. MR 0243485
Reference: [2] Bell M.G.: Generalized dyadic spaces.Fundamenta Mathematicae CXXV (1985), 47-58. Zbl 0589.54019, MR 0813988
Reference: [3] Efimov B.A.: Diadicheskie bikompakty (in Russian).Trudy Mosk. Matem. O-va 14 (1965), 211-247. MR 0202105
Reference: [4] DeGroot J.: Supercompactness and Superextensions.Symp. Berlin 1967, Deutscher Verlag Wiss., Berlin, 1969, pp.89-90.
Reference: [5] Kulpa W., Turzaṅski M.: Bijections into compact spaces.Acta Universitatis Carolinae - Mathematica and Physica 29 (1988), 43-49. MR 0983450
Reference: [6] Mrȯwka S.: Mazur theorem and $m$-acid spaces.Bull. Acad. Polon. Sci. 43 (1970), 299-305. MR 0264613
Reference: [7] Szymaṅski A., Turzaṅski M.: Subbase characterization of special spaces.Colloquium Mathematicum XLVII (1982), 185-197. MR 0713140
Reference: [8] Turzaṅski M.: On generalizations of dyadic spaces.Acta Universitatis Carolinae - Mathematica et Physica 30 (1989), 153-159. MR 1046462
Reference: [9] Turzaṅski M.: Strong sequences and the weight of regular spaces.Comment. Math. Univ. Carolinae 33 (1992), 557-561. MR 1209297


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