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Volumn 110, Issue 1, 2005, Pages 169-173

Axiom of choice and chromatic number of Rn

Author keywords

Axiom of choice; Axioms of set theory; Chromatic number of the plane and space; Coloring; Combinatorial geometry; Discrete geometry

Indexed keywords


EID: 15844375466     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcta.2004.10.004     Document Type: Article
Times cited : (10)

References (12)
  • 2
    • 31244436597 scopus 로고    scopus 로고
    • A 15-coloring of 3-space omitting distance one
    • D.A. Coulson A 15-coloring of 3-space omitting distance one Discrete Math. 256 2002 83-90
    • (2002) Discrete Math. , vol.256 , pp. 83-90
    • Coulson, D.A.1
  • 4
    • 0001194434 scopus 로고
    • A colour problem for infinite graphs and a problem in the theory of relations
    • P. Erdös N.G. de Bruijn A colour problem for infinite graphs and a problem in the theory of relations Indag. Math. 13 1951 371-373
    • (1951) Indag. Math. , vol.13 , pp. 371-373
    • Erdös, P.1    de Bruijn, N.G.2
  • 6
    • 31244431950 scopus 로고    scopus 로고
    • On the space chromatic number
    • O. Nechushtan On the space chromatic number Discrete Math. 256 2002 499-507
    • (2002) Discrete Math. , vol.256 , pp. 499-507
    • Nechushtan, O.1
  • 7
    • 0042853662 scopus 로고    scopus 로고
    • Axiom of choice and chromatic number of the plane
    • S. Shelah A. Soifer Axiom of choice and chromatic number of the plane J. Combin. Theory Ser. A 103 2003 387-391
    • (2003) J. Combin. Theory Ser. A , vol.103 , pp. 387-391
    • Shelah, S.1    Soifer, A.2
  • 8
    • 1942509707 scopus 로고    scopus 로고
    • Axiom of choice and chromatic number: Examples on the plane
    • A. Soifer S. Shelah Axiom of choice and chromatic number: Examples on the plane J. Combin. Theory Ser. A 105 2004 359-364
    • (2004) J. Combin. Theory Ser. A , vol.105 , pp. 359-364
    • Soifer, A.1    Shelah, S.2
  • 9
    • 0042630612 scopus 로고    scopus 로고
    • Chromatic number of the plane & its relatives. part I: The problem & its history
    • A. Soifer Chromatic number of the plane & its relatives. part I: The problem & its history Geombinatorics XII 3 2003 131-148
    • (2003) Geombinatorics , vol.12 , Issue.3 , pp. 131-148
    • Soifer, A.1
  • 10
    • 0041628694 scopus 로고    scopus 로고
    • Chromatic number of the plane & its relatives, Part II: Polychromatic number & 6-coloring
    • A. Soifer Chromatic number of the plane & its relatives, Part II: polychromatic number & 6-coloring Geombinatorics XII 4 2003 191-216
    • (2003) Geombinatorics , vol.12 , Issue.4 , pp. 191-216
    • Soifer, A.1
  • 12
    • 0002548418 scopus 로고
    • A model of set theory in which every set of reals is Lebesgue measurable
    • R.M. Solovay A model of set theory in which every set of reals is Lebesgue measurable Ann. Math. Ser. 2 92 1970 1-56
    • (1970) Ann. Math. Ser. 2 , vol.92 , pp. 1-56
    • Solovay, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.