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Title: On a property of pseudometrics and uniformities near to convexity (English)
Author: Hejcman, Jan
Author: Vilímovský, Jiří
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 38
Issue: 2
Year: 1988
Pages: 366-380
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Category: math
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MSC: 54E15
MSC: 54E35
idZBL: Zbl 0671.54016
idMR: MR946305
DOI: 10.21136/CMJ.1988.102231
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Date available: 2008-06-09T15:21:44Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102231
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Reference: [1] Aronszajn N., Panitchpakdi P.: Extensions of uniformly continuous transformations and hyperconvex metric spaces.Pacif J. Math. 6 (1956), 405-439. MR 0084762, 10.2140/pjm.1956.6.405
Reference: [2] Corson H., Klee V.: Topological classification of convex sets.Proc. Symp. Pure Math. VII (Convexity), AMS (1963), 37-51. Zbl 0207.42901, MR 0161119
Reference: [3] Неjсmаn J.: Metrization lemmas and equivalence of Lipschitz structures.General topology and its relations to modern analysis and algebra V (Proc. Fifth Prague Topological Symp. 1981), Heldermann Verlag, Berlin, 1983, 261-264. MR 0698422
Reference: [4] Isbell J. R.: Uniform spaces.Amer. Math. Soc., Providence, 1964. Zbl 0124.15601, MR 0170323
Reference: [5] Kuratowski K.: Topology I.Academic Press, New York and London, PWN, Warszawa, 1966. MR 0217751
Reference: [6] Menger K.: Untersuchungen über allgemeine Metrik.Math. Ann. 100 (1928), 75-163. MR 1512479, 10.1007/BF01448840
Reference: [7] Pelant J.: Locally fine uniformities and normal covers.Czechoslovak Math. J. 37(112) (1987), 181-187. Zbl 0656.54020, MR 0882592
Reference: [8] Rice M. D.: Metric-fine uniform spaces.J. London Math. Soc. 11 (1975), 53-64. Zbl 0324.54018, MR 0420566, 10.1112/jlms/s2-11.1.53
Reference: [9] Rolfsen D.: Geometric methods in topological spaces.Topology conference ASU 1967, Tempe, Arizona 1968, 250-257.
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