Strong sequences, binary families and Esenin-Volpin's theorem

Marian Turzański

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 3, page 563-569
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Turzański, Marian. "Strong sequences, binary families and Esenin-Volpin's theorem." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 563-569. <http://eudml.org/doc/247365>.

@article{Turzański1992,
abstract = {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.},
author = {Turzański, Marian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {strong sequence; binary family; dyadic space; thick space; dyadic spaces; Esenin-Volpin's theorem; thick spaces},
language = {eng},
number = {3},
pages = {563-569},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Strong sequences, binary families and Esenin-Volpin's theorem},
url = {http://eudml.org/doc/247365},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Turzański, Marian
TI - Strong sequences, binary families and Esenin-Volpin's theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 3
SP - 563
EP - 569
AB - 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.
LA - eng
KW - strong sequence; binary family; dyadic space; thick space; dyadic spaces; Esenin-Volpin's theorem; thick spaces
UR - http://eudml.org/doc/247365
ER -

References

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  2. Bell M.G., Generalized dyadic spaces, Fundamenta Mathematicae CXXV (1985), 47-58. (1985) Zbl0589.54019MR0813988
  3. Efimov B.A., Diadicheskie bikompakty (in Russian), Trudy Mosk. Matem. O-va 14 (1965), 211-247. (1965) MR0202105
  4. DeGroot J., Supercompactness and Superextensions, Symp. Berlin 1967, Deutscher Verlag Wiss., Berlin, 1969, pp.89-90. 
  5. Kulpa W., Turzaṅski M., Bijections into compact spaces, Acta Universitatis Carolinae - Mathematica and Physica 29 (1988), 43-49. (1988) MR0983450
  6. Mrȯwka S., Mazur theorem and m -acid spaces, Bull. Acad. Polon. Sci. 43 (1970), 299-305. (1970) MR0264613
  7. Szymaṅski A., Turzaṅski M., Subbase characterization of special spaces, Colloquium Mathematicum XLVII (1982), 185-197. (1982) MR0713140
  8. Turzaṅski M., On generalizations of dyadic spaces, Acta Universitatis Carolinae - Mathematica et Physica 30 (1989), 153-159. (1989) MR1046462
  9. Turzaṅski M., Strong sequences and the weight of regular spaces, Comment. Math. Univ. Carolinae 33 (1992), 557-561. (1992) MR1209297

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