On dimension of locally pseudocompact groups and their quotients
Commentationes Mathematicae Universitatis Carolinae (1990)
- Volume: 031, Issue: 1, page 159-166
- ISSN: 0010-2628
Access Full Article
top
How to cite
topTkachenko, Mihail G.. "On dimension of locally pseudocompact groups and their quotients." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 159-166. <http://eudml.org/doc/17820>.
@article{Tkachenko1990,
author = {Tkachenko, Mihail G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {covering dimension; small (large) inductive dimension; C-embedded subset; -lattice of mappings; perfect k-normality; locally pseudocompact group; extremally disconnected quotient space},
language = {eng},
number = {1},
pages = {159-166},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On dimension of locally pseudocompact groups and their quotients},
url = {http://eudml.org/doc/17820},
volume = {031},
year = {1990},
}
TY - JOUR
AU - Tkachenko, Mihail G.
TI - On dimension of locally pseudocompact groups and their quotients
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 159
EP - 166
LA - eng
KW - covering dimension; small (large) inductive dimension; C-embedded subset; -lattice of mappings; perfect k-normality; locally pseudocompact group; extremally disconnected quotient space
UR - http://eudml.org/doc/17820
ER -
References
top- Arhangel'skii A. V., Structure and classification of topological spaces and cardinal invariants, (in Russian), Uspekhy Mat. Nauk 33, 6 (1978), 29-84. (1978) MR0526012
- Blaszczyk A., Souslin number and inverse limits, Proc. Conf. Topology and Measure III., Vitte/Hiddense 1980, Part 1. Greifswald, 1982, 72-76. (1980)
- Čoban M. M., On completion of topological groups, (in Russian), Vestnik Moskov. Univ., Ser. mat.& mech. 1 (1970), 33-38. (1970) MR0279226
- Comfort W. W., Ultrafilters: some old and some new results, Bull. Amer. Math. Soc. 83 (1977), 417-455. (1977) MR0454893
- Comfort W. W., Saks V., Countably compact groups and finest totally bounded uniformities, Pacific J. Math. 49 (1973), 33-44. (1973) MR0372104
- Engelking R., General Topology, Warszawa, PWN, 1977. (1977) Zbl0373.54002MR0500780
- Fedorčuk V. V., On dimension of -metrixable compact spaces, in particular, of Dugundji spaces, (in Russian), Dokl. AN SSSR 234 (1977), 30-33. (1977) MR0451213
- Gillman L., Jerison M., Rings of continuous functions, New York, I960. Zbl0327.46040
- Ivanov A. V., On dimension of non-perfectly normal spaces, (in Russian), Vestnik Moskov. Univ., Ser. mat. & mech. 4 (1978), 21-27. (1978) MR0423319
- Pasynkov B. A., On coincidence of different definitions of a dimension for locally compact groups, (in Russian), Dokl. AN SSSR 132 (1960), 1035-1037. (1960) MR0122906
- Pontrjagin L. S., Continuous groups, (in Russian), Moscow, 1973. (1973) MR0357673
- Skjarenko E. G., On topological structure of locally compact groupa and their quotient spaces, (in Russian), Matem. Sborník 60 (1963), 83-88. (1963)
- Tkačenko M. G., The notion of -tightness and -embedded subspaces of products, Topology Appl. 15 (1983), 93-98. (1983) MR0676970
- Tkačenko M. G., On the Souslin property of free topological groups over compact spaces, (in Russian), Mat. Zametky 34 (1983), 601-607. (1983) MR0722229
- Tkačenko M. G., Free topological groups and related topics, In Proc. Conf. Topology and Appl., Eger, Hungary, 1983, Colloquia Math. 41 (1984), 609-623. (1983) MR0863943
- Yamabe H., A generalization of a theorem of Gleason, Ann. of Math. 58 (1953), 351-365. (1953) Zbl0053.01602MR0058607
- Yamanoahita T., On the dimension of homogeneous spaces, J. Math. Soc. Japan 6 (1953), 151-159. (1953) MR0065566
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.