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Title: On full cover property of ordered fields (English)
Author: Šalát, Tibor
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 44
Issue: 5
Year: 1994
Pages: 501-504
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Category: math
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MSC: 12J10
MSC: 12J15
idZBL: Zbl 0823.12006
idMR: MR1338423
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Date available: 2009-09-25T11:00:38Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136623
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Reference: [1] ALEXANDROV P. S.: Introduction to General Theory of Sets and Functions.(Czech translation), NCSAV, Prague, 1954.
Reference: [2] BOTSKO M. W.: A unified treatment of various theorems in elementary analysis.Amer. Math. Monthly 94 (1987), 450-452. MR 1541097
Reference: [3] BOTSKO M. W.: The use of full covers in real analysis.Amer. Math. Monthly 96 (1989), 328-333. Zbl 0721.26003, MR 0992079
Reference: [4] COHEN L. W.-EHRLICH G.: The Structure of Real Number System.D. Van Nostrad-Princeton-New Jersey, Toronto-New York-London, 1963.
Reference: [5] ŠALÁT T.-TARABOVÁ A.: On properties of Archimedean ordered fields that are equivalent to the completeness.Acta Math. Univ. Comenian. XLII-XLIII (1983), 299-306. Zbl 0598.12026, MR 0740762
Reference: [6] SIKORSKI R.: Real Functions I.(Polish), PWN, Warshaw, 1958. MR 0091312
Reference: [7] THOMSON B. S.: On full covering properties.Real Anal. Exchange 6 (1980-81), 77-91. MR 0606543
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