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Volumn 105, Issue 2, 2004, Pages 359-364

Axiom of choice and chromatic number: Examples on the plane

Author keywords

Axiom of choice; Axiomatic set theory; Chromatic number; Erd s problems and related topics to discrete geometry; Euclidean Ramsey theory; Graph theory

Indexed keywords


EID: 1942509707     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcta.2004.01.001     Document Type: Article
Times cited : (20)

References (12)
  • 1
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    • A system of axiomatic set theory III
    • P. Bernays, A system of axiomatic set theory III, J. Symbolic Logic 7 (1942) 65-89.
    • (1942) J. Symbolic Logic , vol.7 , pp. 65-89
    • Bernays, P.1
  • 2
    • 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
    • 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 (2) (2003) 391-397.
    • (2003) J. Combin. Theory. Ser. A , vol.103 , Issue.2 , pp. 391-397
    • Shelah, S.1    Soifer, A.2
  • 7
    • 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
  • 8
    • 0041628694 scopus 로고    scopus 로고
    • Chromatic number of the plane & its relatives, Part II: Results & further problems
    • A. Soifer, Chromatic number of the plane & its relatives, Part II: results & further problems, Geombinatorics XII(4) (2003).
    • (2003) Geombinatorics , vol.12 , Issue.4
    • Soifer, A.1
  • 10
    • 0002548418 scopus 로고
    • A model of set theory in which every set of reals is Lebesgue measurable
    • Ser. 2
    • R.M. Solovay, A model of set theory in which every set of reals is Lebesgue measurable, Ann. Math. 92 Ser. 2 (1970) 1-56.
    • (1970) Ann. Math. , vol.92 , pp. 1-56
    • Solovay, R.M.1
  • 11
    • 85030888163 scopus 로고    scopus 로고
    • e-mail to A. Soifer of April 11
    • R.M. Solovay, e-mail to A. Soifer of April 11, 2003.
    • (2003)
    • Solovay, R.M.1
  • 12
    • 0001104619 scopus 로고
    • Beweis dass jede Menge wohlgeordnet werden kann
    • E. Zermelo, Beweis dass jede Menge wohlgeordnet werden kann, Math. Ann. 59 (1904) 514-516.
    • (1904) Math. Ann. , vol.59 , pp. 514-516
    • Zermelo, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.