| Title:
|
On dimension of locally pseudocompact groups and their quotients (English) |
| Author:
|
Tkačenko, Michael G. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1990 |
| Pages:
|
159-166 |
| . |
| Category:
|
math |
| . |
| MSC:
|
22A05 |
| MSC:
|
54B15 |
| MSC:
|
54F45 |
| MSC:
|
54H13 |
| idZBL:
|
Zbl 0695.54027 |
| idMR:
|
MR1056183 |
| . |
| Date available:
|
2008-06-05T21:42:35Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106831 |
| . |
| Reference:
|
[1] Arhangel'skii A. V.: Structure and classification of topological spaces and cardinal invariants.(in Russian), Uspekhy Mat. Nauk 33, 6 (1978), 29-84. MR 0526012 |
| Reference:
|
[2] Blaszczyk A.: Souslin number and inverse limits.Proc. Conf. Topology and Measure III., Vitte/Hiddense 1980, Part 1. Greifswald, 1982, 72-76. |
| Reference:
|
[3] Čoban M. M.: On completion of topological groups.(in Russian), Vestnik Moskov. Univ., Ser. mat.& mech. 1 (1970), 33-38. MR 0279226 |
| Reference:
|
[4] Comfort W. W.: Ultrafilters: some old and some new results.Bull. Amer. Math. Soc. 83 (1977), 417-455. MR 0454893 |
| Reference:
|
[5] Comfort W. W., Saks V.: Countably compact groups and finest totally bounded uniformities.Pacific J. Math. 49 (1973), 33-44. MR 0372104 |
| Reference:
|
[6] Engelking R.: General Topology.Warszawa, PWN, 1977. Zbl 0373.54002, MR 0500780 |
| Reference:
|
[7] Fedorčuk V. V.: On dimension of $κ$-metrixable compact spaces, in particular, of Dugundji spaces.(in Russian), Dokl. AN SSSR 234 (1977), 30-33. MR 0451213 |
| Reference:
|
[8] Gillman L., Jerison M.: Rings of continuous functions.New York, I960. Zbl 0327.46040 |
| Reference:
|
[9] Ivanov A. V.: On dimension of non-perfectly normal spaces.(in Russian), Vestnik Moskov. Univ., Ser. mat. & mech. 4 (1978), 21-27. MR 0423319 |
| Reference:
|
[10] Pasynkov B. A.: On coincidence of different definitions of a dimension for locally compact groups.(in Russian), Dokl. AN SSSR 132 (1960), 1035-1037. MR 0122906 |
| Reference:
|
[11] Pontrjagin L. S.: Continuous groups.(in Russian), Moscow, 1973. MR 0357673 |
| Reference:
|
[12] Skjarenko E. G.: On topological structure of locally compact groupa and their quotient spaces.(in Russian), Matem. Sborník 60 (1963), 83-88. |
| Reference:
|
[13] Tkačenko M. G.: The notion of $\sigma$-tightness and $C$-embedded subspaces of products.Topology Appl. 15 (1983), 93-98. MR 0676970 |
| Reference:
|
[14] Tkačenko M. G.: On the Souslin property of free topological groups over compact spaces.(in Russian), Mat. Zametky 34 (1983), 601-607. MR 0722229 |
| Reference:
|
[15] Tkačenko M. G.: Free topological groups and related topics.In Proc. Conf. Topology and Appl., Eger, Hungary, 1983, Colloquia Math. 41 (1984), 609-623. MR 0863943 |
| Reference:
|
[16] Yamabe H.: A generalization of a theorem of Gleason.Ann. of Math. 58 (1953), 351-365. Zbl 0053.01602, MR 0058607 |
| Reference:
|
[17] Yamanoahita T.: On the dimension of homogeneous spaces.J. Math. Soc. Japan 6 (1953), 151-159. MR 0065566 |
| . |
