Title:
|
On analytical dimension of rings of bounded uniformly continuous functions (English) |
Author:
|
Hejcman, Jan |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
28 |
Issue:
|
2 |
Year:
|
1987 |
Pages:
|
325-335 |
. |
Category:
|
math |
. |
MSC:
|
54C35 |
MSC:
|
54E15 |
MSC:
|
54F45 |
idZBL:
|
Zbl 0642.54029 |
idMR:
|
MR904757 |
. |
Date available:
|
2008-06-05T21:29:11Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106544 |
. |
Reference:
|
[1] S. A. BOGATYJ: Kharakteristiki topologicheskoj i ravnomernoj razmernosti v terminakh kolec nepreryvnykh funkcij.Sibirskij Mat. Zhurnal 14 (1973), 289-299. |
Reference:
|
[2] Z. FROLÍK: Basic refinements of the category of uniform spaces.TOPO 72 - Gen.Top. and its Appl. (Proc. 2nd Pittsburgh Intern. Conf.), pp. 140-158, Lecture Notes in Math., Vol. 378, Springer, Berlin, 1974. MR 0358705 |
Reference:
|
[3] J. HEJCMAN: Uniform dimension of mappings.Comment. Math. Univ. Carolinae 6 (1965), 381-385. Zbl 0136.19901, MR 0190903 |
Reference:
|
[4] J. HEJCMAN: Uniform dimension and rings of bounded uniformly continuous functions.Topics in topology (Proc. Coll. Keszthely, 1972), pp. 379-386, Colloq. Math. Soc. János Bolyai, Vol. 8, North-Holland, Amsterdam, 1974. MR 0356002 |
Reference:
|
[5] J. R. ISBELL: Uniform spaces.Amer. Math. Soc., Providence, 1964. Zbl 0124.15601, MR 0170323 |
Reference:
|
[6] M. KATĚTOV: O kol'cakh nepreryvnykh funkcij i razmernosti bikompaktov.Časopis pěst. mat. fys. 75 (1950), 1-16. MR 0036501 |
Reference:
|
[7] M. KATĚTOV: A theorem on the Lebesgue dimension.Časopis pěst. mat. fys. 75 (1950), 79-87. MR 0036502 |
Reference:
|
[8] J. L. KELLEY: General Topology.Van Nostrand, New York,1955. Zbl 0066.16604, MR 0070144 |
Reference:
|
[9] W. KULPA: Factorization and inverse expansion theorems for uniformities.Coll. Math. 21 (1970), 217-227. Zbl 0197.48803, MR 0264597 |
Reference:
|
[10] W. KULPA: A theorem on expansion into inverse systems of metric spaces.Coll. Math. 44 (1981), 217-225. MR 0652581 |
Reference:
|
[11] R. H. WARREN: Identification spaces and unique uniformity.Pacif. J. Math. 95 (1981), 483-492. Zbl 0489.54024, MR 0632201 |
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