On full cover property of ordered fields

Tibor Šalát

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 5, page 501-504
  • ISSN: 0139-9918

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Šalát, Tibor. "On full cover property of ordered fields." Mathematica Slovaca 44.5 (1994): 501-504. <http://eudml.org/doc/34393>.

@article{Šalát1994,
author = {Šalát, Tibor},
journal = {Mathematica Slovaca},
keywords = {FC-property; full cover of an interval; ordered field; Archimedean ordered field},
language = {eng},
number = {5},
pages = {501-504},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On full cover property of ordered fields},
url = {http://eudml.org/doc/34393},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Šalát, Tibor
TI - On full cover property of ordered fields
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 5
SP - 501
EP - 504
LA - eng
KW - FC-property; full cover of an interval; ordered field; Archimedean ordered field
UR - http://eudml.org/doc/34393
ER -

References

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  1. ALEXANDROV P. S., Introduction to General Theory of Sets and Functions, (Czech translation), NCSAV, Prague, 1954. (1954) 
  2. BOTSKO M. W., A unified treatment of various theorems in elementary analysis, Amer. Math. Monthly 94 (1987), 450-452. (1987) MR1541097
  3. BOTSKO M. W., The use of full covers in real analysis, Amer. Math. Monthly 96 (1989), 328-333. (1989) Zbl0721.26003MR0992079
  4. COHEN L. W.-EHRLICH G., The Structure of Real Number System, D. Van Nostrad-Princeton-New Jersey, Toronto-New York-London, 1963. (1963) 
  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. (1983) Zbl0598.12026MR0740762
  6. SIKORSKI R., Real Functions I, (Polish), PWN, Warshaw, 1958. (1958) MR0091312
  7. THOMSON B. S., On full covering properties, Real Anal. Exchange 6 (1980-81), 77-91. (1980) MR0606543

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