| Title:
|
Inductive dimensions for completely regular spaces (English) |
| Author:
|
Chigogidze, Alex |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
623-637 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54D15 |
| MSC:
|
54D60 |
| MSC:
|
54E15 |
| MSC:
|
54F45 |
| idZBL:
|
Zbl 0373.54032 |
| idMR:
|
MR0494004 |
| . |
| Date available:
|
2008-06-05T20:56:07Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105807 |
| . |
| Reference:
|
[1] A. CH. CHIGOGIDZE: Relative dimensions for completely regular spaces.Bull. Acad. Sci. Georgian SSR 85 (1977), 45-48. MR 0458386 |
| Reference:
|
[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). MR 0494004 |
| Reference:
|
[3] A. K. STEINER E. F. STEINER: Nest generated intersection rings in Tychonoff spaces.Trans. Amer. Math. Soc. 148 (1970), 589-601. MR 0263032 |
| Reference:
|
[4] R. A. ALO H. L. SHAPIRO M. WEIR: Realcompactness and Wallman realcompactification.Portugal. Math. 34 (1975), 33-43. MR 0388349 |
| Reference:
|
[5] H. GORDON: Rings of functions determined by zero-sets.Pacific J. Math. 36 (1971), 133-157. Zbl 0185.38803, MR 0320996 |
| Reference:
|
[6] A. W. HAGER: On inverse-closed subalgebras of $C(X)$.Proc. London Math. Soc. 19 (1969), 233-257. Zbl 0169.54005, MR 0244948 |
| Reference:
|
[7] CH. DOWKER: Inductive dimensions of completely normal spaces.Quart. J. Math. 4 (1953), 267-281. MR 0063654 |
| Reference:
|
[8] R. N. ORMOTSADZE A. CH. CHIGOGIDZE: Inductive dimensions for zero-set spaces.Bull. Acad. Sci. Georgian SSR 81 (1976), 301-304. MR 0410700 |
| Reference:
|
[9] A. V. IVANOV: On the dimension of incompletely normal spaces.Vestnik Mosk. Univ. 4 (1976), 21-27. Zbl 0351.54028, MR 0423319 |
| Reference:
|
[10] A. CH. CHIGOGIDZE: On the pseudocompact spaces.Bull. Acad. Sci. Georgian SSR 86 (1977), 25-27. |
| Reference:
|
[11] IU. M. SMIRNOV: Some relations in the dimension theory.Matem. Sbor. 29 (1951), 157-172. MR 0044108 |
| Reference:
|
[12] IU. M. SMIHNOV: On the dimension of increments of bicompact extensions of proximity spaces and topological spaces.Matem. Sbor. 69 (1966), 141-160. MR 0198421 |
| Reference:
|
[13] J. TERESAWA: NUR and their dimensions.Notices Amer. Math. Soc. 24 (1977), A-262. |
| Reference:
|
[14] R. ENGELKING: Outline of General Topology.Amsterdam, 1968. Zbl 0157.53001, MR 0230273 |
| Reference:
|
[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. MR 0454936 |
| Reference:
|
[16] W. HUREWICH H. WALLMAN: Dimension Theory.Princeton, 1941. |
| Reference:
|
[17] K. MORITA: On closed mappings and dimensions.Proc. Japan Acad. 32 (1956), 161-165. MR 0079755 |
| Reference:
|
[18] P. S. ALEXANDROFF: On the countably-order open mappings.Dokl. AN SSSR 4 (1936), 283-286. |
| Reference:
|
[19] B. A. PASYNKOV: On the open mappings.Dokl. AN SSSR 175 (1967), 292-295. MR 0217773 |
| . |
