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 |
. |
Category:
|
math |
. |
MSC:
|
12J10 |
MSC:
|
12J15 |
idZBL:
|
Zbl 0823.12006 |
idMR:
|
MR1338423 |
. |
Date available:
|
2009-09-25T11:00:38Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136623 |
. |
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 |
. |