| 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:
|
http://hdl.handle.net/10338.dmlcz/118524 |
| . |
| 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 |
| . |
