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Article

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
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Category: math
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MSC: 54C35
MSC: 54E15
MSC: 54F45
idZBL: Zbl 0642.54029
idMR: MR904757
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Date available: 2008-06-05T21:29:11Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106544
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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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