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Volumn 168, Issue 2, 2001, Pages 131-140

Countably convex Gδ sets

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EID: 0035652369     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm168-2-4     Document Type: Article
Times cited : (2)

References (14)
  • 1
    • 51249191397 scopus 로고
    • A decomposition theorem for m-convex sets
    • M. Breen, A decomposition theorem for m-convex sets, Israel J. Math. 24 (1976), 211-216.
    • (1976) Israel J. Math. , vol.24 , pp. 211-216
    • Breen, M.1
  • 2
    • 51249190478 scopus 로고    scopus 로고
    • d analogue of Valentine's theorem on 3-convex sets
    • d analogue of Valentine's theorem on 3-convex sets, ibid., 206-210.
    • Israel J. Math. , pp. 206-210
  • 3
    • 51249187231 scopus 로고    scopus 로고
    • General decomposition theorems for m-convex sets in the plane
    • M. Breen and D. C. Kay, General decomposition theorems for m-convex sets in the plane, ibid., 217-233.
    • Israel J. Math. , pp. 217-233
    • Breen, M.1    Kay, D.C.2
  • 4
    • 0002335590 scopus 로고    scopus 로고
    • Inner diagonals of convex polytopes
    • D. Bremner and V. Klee, Inner diagonals of convex polytopes, J, Combin. Theory Ser. A 87 (1999), 175-197.
    • (1999) J, Combin. Theory Ser. A , vol.87 , pp. 175-197
    • Bremner, D.1    Klee, V.2
  • 5
    • 84976111266 scopus 로고
    • A condition for a compact plane set to be a union of finitely many convex sets
    • H. G. Eggleston, A condition for a compact plane set to be a union of finitely many convex sets, Proc. Cambridge Philos. Soc. 76 (1974), 61-66.
    • (1974) Proc. Cambridge Philos. Soc. , vol.76 , pp. 61-66
    • Eggleston, H.G.1
  • 9
    • 0001012579 scopus 로고    scopus 로고
    • Convexity ranks in higher dimension
    • _, Convexity ranks in higher dimension, Fund. Math. 164 (2000), 143-163.
    • (2000) Fund. Math. , vol.164 , pp. 143-163
  • 10
    • 51249175141 scopus 로고
    • Sets in a euclidean space which are not a countable union of convex subsets
    • M. Kojman, M. A. Perles, and S. Shelah, Sets in a Euclidean space which are not a countable union of convex subsets, ibid. 70 (1990), 313-342.
    • (1990) Fund. Math. , vol.70 , pp. 313-342
    • Kojman, M.1    Perles, M.A.2    Shelah, S.3
  • 12
    • 0033482659 scopus 로고    scopus 로고
    • On visibility and covering by convex sets
    • J. Matoušek and P. Valtr, On visibility and covering by convex sets, Israel J. Math. 113 (1999), 341-379.
    • (1999) Israel J. Math. , vol.113 , pp. 341-379
    • Matoušek, J.1    Valtr, P.2
  • 14
    • 0000283980 scopus 로고
    • A three point convexity property
    • F. A. Valentine, A three point convexity property, Pacific J. Math. 7 (1957), 1227-1235.
    • (1957) Pacific J. Math. , vol.7 , pp. 1227-1235
    • Valentine, F.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.