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 |
. |
Category:
|
math |
. |
MSC:
|
54E15 |
MSC:
|
54E35 |
idZBL:
|
Zbl 0671.54016 |
idMR:
|
MR946305 |
DOI:
|
10.21136/CMJ.1988.102231 |
. |
Date available:
|
2008-06-09T15:21:44Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102231 |
. |
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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