On dimension of locally pseudocompact groups and their quotients

Mihail G. Tkachenko

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 159-166
  • ISSN: 0010-2628

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Tkachenko, 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

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  6. Engelking R., General Topology, Warszawa, PWN, 1977. (1977) Zbl0373.54002MR0500780
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  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. (1960) Zbl0094.01403MR0122906
  11. Pontrjagin L. S., Continuous groups, (in Russian), Moscow, 1973. (1973) MR0357673
  12. Skjarenko E. G., On topological structure of locally compact groupa and their quotient spaces, (in Russian), Matem. Sborník 60 (1963), 83-88. (1963) 
  13. Tkačenko M. G., The notion of σ -tightness and C -embedded subspaces of products, Topology Appl. 15 (1983), 93-98. (1983) MR0676970
  14. Tkačenko M. G., On the Souslin property of free topological groups over compact spaces, (in Russian), Mat. Zametky 34 (1983), 601-607. (1983) MR0722229
  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. (1983) MR0863943
  16. Yamabe H., A generalization of a theorem of Gleason, Ann. of Math. 58 (1953), 351-365. (1953) Zbl0053.01602MR0058607
  17. Yamanoahita T., On the dimension of homogeneous spaces, J. Math. Soc. Japan 6 (1953), 151-159. (1953) MR0065566

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