Sum and difference free partitions of vector spaces

Krzysztof Ciesielski

Colloquium Mathematicae (1996)

  • Volume: 71, Issue: 2, page 263-271
  • ISSN: 0010-1354

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Ciesielski, Krzysztof. "Sum and difference free partitions of vector spaces." Colloquium Mathematicae 71.2 (1996): 263-271. <http://eudml.org/doc/210440>.

@article{Ciesielski1996,
author = {Ciesielski, Krzysztof},
journal = {Colloquium Mathematicae},
keywords = {vector space; countable partition; cardinal invariants; sum free partition; difference free partition},
language = {eng},
number = {2},
pages = {263-271},
title = {Sum and difference free partitions of vector spaces},
url = {http://eudml.org/doc/210440},
volume = {71},
year = {1996},
}

TY - JOUR
AU - Ciesielski, Krzysztof
TI - Sum and difference free partitions of vector spaces
JO - Colloquium Mathematicae
PY - 1996
VL - 71
IS - 2
SP - 263
EP - 271
LA - eng
KW - vector space; countable partition; cardinal invariants; sum free partition; difference free partition
UR - http://eudml.org/doc/210440
ER -

References

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  1. [1] K. Ciesielski and L. Larson, Uniformly antisymmetric functions, Real Anal. Exchange 19 (1993/94), 226-235. Zbl0797.26002
  2. [2] P. Erdős, Measure theoretic, combinatorial and number theoretic problems concerning point sets in Euclidean space, ibid. 4 (1978/79), 113-138. Zbl0418.04002
  3. [3] P. Erdős, Some applications of Ramsey's theorem to additive number theory, European J. Combin. 1 (1980), 43-46. Zbl0442.10037
  4. [4] P. Erdős, A. Hajnal, A. Máté, and R. Rado, Combinatorial Set Theory: Partition Relations for Cardinals, Stud. in Logic 106, North-Holland, 1984. Zbl0573.03019
  5. [5] P. Komjáth, Vector sets with no repeted differences, Colloq. Math. 64 (1993), 129-134. Zbl0830.03020
  6. [6] P. Komjáth and S. Shelah, On uniformly antisymmetric functions, Real Anal. Exchange 19 (1993/94), 218-225. Zbl0797.26001
  7. [7] P. Komjáth and S. Shelah, Coloring finite subsets of uncountable sets, Proc. Amer. Math. Soc., to appear. Zbl0865.03041

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