Inductive dimensions for completely regular spaces

Alex Chigogidze

Commentationes Mathematicae Universitatis Carolinae (1977)

  • Volume: 018, Issue: 4, page 623-637
  • ISSN: 0010-2628

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Chigogidze, Alex. "Inductive dimensions for completely regular spaces." Commentationes Mathematicae Universitatis Carolinae 018.4 (1977): 623-637. <http://eudml.org/doc/16858>.

@article{Chigogidze1977,
author = {Chigogidze, Alex},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {623-637},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Inductive dimensions for completely regular spaces},
url = {http://eudml.org/doc/16858},
volume = {018},
year = {1977},
}

TY - JOUR
AU - Chigogidze, Alex
TI - Inductive dimensions for completely regular spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1977
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 018
IS - 4
SP - 623
EP - 637
LA - eng
UR - http://eudml.org/doc/16858
ER -

References

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  1. A. CH. CHIGOGIDZE, Relative dimensions for completely regular spaces, Bull. Acad. Sci. Georgian SSR 85 (1977), 45-48. (1977) MR0458386
  2. A. CH. CHIGOGIDZE, On the Wallman realcompactifications and dimensions of increments of completely regular spaces, Bull. Acad. Sci. Georgian SSR 87 (1977) (to appear). (1977) MR0494004
  3. A. K. STEINER E. F. STEINER, Nest generated intersection rings in Tychonoff spaces, Trans. Amer. Math. Soc. 148 (1970), 589-601. (1970) MR0263032
  4. R. A. ALO H. L. SHAPIRO M. WEIR, Realcompactness and Wallman realcompactification, Portugal. Math. 34 (1975), 33-43. (1975) MR0388349
  5. H. GORDON, Rings of functions determined by zero-sets, Pacific J. Math. 36 (1971), 133-157. (1971) Zbl0185.38803MR0320996
  6. A. W. HAGER, On inverse-closed subalgebras of C ( X ) , Proc. London Math. Soc. 19 (1969), 233-257. (1969) Zbl0169.54005MR0244948
  7. CH. DOWKER, Inductive dimensions of completely normal spaces, Quart. J. Math. 4 (1953), 267-281. (1953) MR0063654
  8. R. N. ORMOTSADZE A. CH. CHIGOGIDZE, Inductive dimensions for zero-set spaces, Bull. Acad. Sci. Georgian SSR 81 (1976), 301-304. (1976) MR0410700
  9. A. V. IVANOV, On the dimension of incompletely normal spaces, Vestnik Mosk. Univ. 4 (1976), 21-27. (1976) Zbl0351.54028MR0423319
  10. A. CH. CHIGOGIDZE, On the pseudocompact spaces, Bull. Acad. Sci. Georgian SSR 86 (1977), 25-27. (1977) 
  11. IU. M. SMIRNOV, Some relations in the dimension theory, Matem. Sbor. 29 (1951), 157-172. (1951) MR0044108
  12. IU. M. SMIHNOV, On the dimension of increments of bicompact extensions of proximity spaces and topological spaces, Matem. Sbor. 69 (1966), 141-160. (1966) MR0198421
  13. J. TERESAWA, NUR and their dimensions, Notices Amer. Math. Soc. 24 (1977), A-262. (1977) 
  14. R. ENGELKING, Outline of General Topology, Amsterdam, 1968. (1968) Zbl0157.53001MR0230273
  15. A. G. NEMETS B. A. PASYNKOV, On two general approaches to the factorization theorems in the dimension theory, Dokl. AN SSSR 233 (1977), 788-791. (1977) MR0454936
  16. W. HUREWICH H. WALLMAN, Dimension Theory, Princeton, 1941. (1941) 
  17. K. MORITA, On closed mappings and dimensions, Proc. Japan Acad. 32 (1956), 161-165. (1956) MR0079755
  18. P. S. ALEXANDROFF, On the countably-order open mappings, Dokl. AN SSSR 4 (1936), 283-286. (1936) 
  19. B. A. PASYNKOV, On the open mappings, Dokl. AN SSSR 175 (1967), 292-295. (1967) MR0217773

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