Application of covering sets

Kandasamy Muthuvel

Colloquium Mathematicae (1999)

  • Volume: 80, Issue: 1, page 115-122
  • ISSN: 0010-1354

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Muthuvel, Kandasamy. "Application of covering sets." Colloquium Mathematicae 80.1 (1999): 115-122. <http://eudml.org/doc/210697>.

@article{Muthuvel1999,
author = {Muthuvel, Kandasamy},
journal = {Colloquium Mathematicae},
keywords = {Hamel basis; Erdős set; covering set},
language = {eng},
number = {1},
pages = {115-122},
title = {Application of covering sets},
url = {http://eudml.org/doc/210697},
volume = {80},
year = {1999},
}

TY - JOUR
AU - Muthuvel, Kandasamy
TI - Application of covering sets
JO - Colloquium Mathematicae
PY - 1999
VL - 80
IS - 1
SP - 115
EP - 122
LA - eng
KW - Hamel basis; Erdős set; covering set
UR - http://eudml.org/doc/210697
ER -

References

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  1. [1] P. Erdős, K. Kunen and R. D. Mauldin, Some additive properties of sets of real numbers, Fund. Math. 113 (1981), 187-199. Zbl0482.28001
  2. [2] L. Fuchs, Abelian Groups, Vols. I, II, Academic Press, New York, 1970. 
  3. [3] B. King, Some remarks on difference sets of Bernstein sets, Real Anal. Exchange 19 (1993-94), 478-490. 
  4. [4] P. Komjáth, Partitions of vector spaces, Period. Math. Hungar. 28 (1994), 187-193. Zbl0811.04004
  5. [5] J. C. Morgan II, On translation invariant families of sets, Colloq. Math. 34 (1975), 63-68. Zbl0326.54027
  6. [6] K. Muthuvel, Some topological properties of Hamel bases, Real Anal. Exchange 20 (1994-95), 819-822. Zbl0828.26002
  7. [7] P. S. Bhaskara Rao and J. D. Reid, Abelian groups that are unions of proper subgroups, Bull. Austral. Math. Soc. 45 (1992), 1-7. Zbl0737.20027
  8. [8] W. Sierpiński, Sur la question de la mesurabilité de la base de M. Hamel, Fund. Math. 1 (1920), 105-111. Zbl47.0180.03

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