메뉴 건너뛰기




Volumn 12, Issue 5-6 SPEC. ISS., 2003, Pages 571-583

Open problems in partition regularity

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL MODELS; PROBABILITY; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 2942578277     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548303005716     Document Type: Article
Times cited : (57)

References (33)
  • 1
    • 0001563841 scopus 로고
    • A proof (involving Martin's axiom) of a partition relation
    • Baumgartner, J. and Hajnal, A. (1973) A proof (involving Martin's axiom) of a partition relation. Fund. Math. 78 193-203.
    • (1973) Fund. Math. , vol.78 , pp. 193-203
    • Baumgartner, J.1    Hajnal, A.2
  • 2
    • 0042429362 scopus 로고    scopus 로고
    • Sets partition regular for n equations need not solve n+ 1
    • Bergelson, V., Hindman, N. and Leader, I. (1996) Sets partition regular for n equations need not solve n+ 1. Proc. London Math. Soc. 73 481-500.
    • (1996) Proc. London Math. Soc. , vol.73 , pp. 481-500
    • Bergelson, V.1    Hindman, N.2    Leader, I.3
  • 3
    • 0042705426 scopus 로고    scopus 로고
    • Additive and multiplicative Ramsey theory in the reals and the rationals
    • Bergelson, V., Hindman, N. and Leader, I. (1999) Additive and multiplicative Ramsey theory in the reals and the rationals. J. Combin. Theory Ser. A 85 41-68.
    • (1999) J. Combin. Theory Ser. A , vol.85 , pp. 41-68
    • Bergelson, V.1    Hindman, N.2    Leader, I.3
  • 4
    • 3042880012 scopus 로고    scopus 로고
    • All-sums sets in (0,1] : Category and measure
    • Bergelson, V., Hindman, N. and Weiss, B. (1997) All-sums sets in (0,1] : Category and measure. Mathematika 44 61-87.
    • (1997) Mathematika , vol.44 , pp. 61-87
    • Bergelson, V.1    Hindman, N.2    Weiss, B.3
  • 6
    • 0000043231 scopus 로고
    • Partitionen und lineare Gleichungssysteme
    • Deuber, W. (1973) Partitionen und lineare Gleichungssysteme. Math. Zeit. 133 109-123.
    • (1973) Math. Zeit. , vol.133 , pp. 109-123
    • Deuber, W.1
  • 7
    • 0013485846 scopus 로고
    • Developments based on rado's dissertation 'studien zur kombinatorik'
    • (J. Siemons, ed.), Cambridge University Press
    • Deuber, W. (1989) Developments based on Rado's dissertation 'Studien zur Kombinatorik'. In Surveys in Combinatorics, 1989 (J. Siemons, ed.), Cambridge University Press, pp. 52-74.
    • (1989) Surveys in Combinatorics 1989 , pp. 52-74
    • Deuber, W.1
  • 8
    • 38249034895 scopus 로고
    • Partitions and sums of (m,p,c)-sets
    • Deuber, W. and Hindman, N. (1987) Partitions and sums of (m,p,c)-sets. J. Combin. Theory Ser. A 45 300-302.
    • (1987) J. Combin. Theory Ser. A , vol.45 , pp. 300-302
    • Deuber, W.1    Hindman, N.2
  • 10
    • 38249038172 scopus 로고
    • Induced restricted Ramsey theorems for spaces
    • Frankl, P., Graham, R. and Rödl, V. (1987) Induced restricted Ramsey theorems for spaces. J. Combin. Theory Ser. A 44 120-128.
    • (1987) J. Combin. Theory Ser. A , vol.44 , pp. 120-128
    • Frankl, P.1    Graham, R.2    Rödl, V.3
  • 12
    • 0001805982 scopus 로고
    • Finite sums from sequences within cells of a partition of N
    • Hindman, N. (1974) Finite sums from sequences within cells of a partition of N. J. Combin. Theory Ser. A 17 1-11.
    • (1974) J. Combin. Theory Ser. A , vol.17 , pp. 1-11
    • Hindman, N.1
  • 13
    • 84968490666 scopus 로고
    • Partitions and sums and products of integers
    • Hindman, N. (1979) Partitions and sums and products of integers. Trans. Amer. Math. Soc. 247 227-245.
    • (1979) Trans. Amer. Math. Soc. , vol.247 , pp. 227-245
    • Hindman, N.1
  • 14
    • 2942617155 scopus 로고    scopus 로고
    • Problems and new results in the algebra of βS and ramsey theory
    • (J. Abe and S. Tanaka, eds), IOS Press, Amsterdam
    • Hindman, N. (2001) Problems and new results in the algebra of βS and Ramsey Theory. In Unsolved Problems in Mathematics for the 21st Century (J. Abe and S. Tanaka, eds), IOS Press, Amsterdam, pp. 295-305.
    • (2001) Unsolved Problems in Mathematics for the 21st Century , pp. 295-305
    • Hindman, N.1
  • 15
    • 84971737349 scopus 로고
    • Image partition regularity of matrices
    • Hindman, N. and Leader, I. (1993) Image partition regularity of matrices. Combin. Probab. Comput. 2 437-463.
    • (1993) Combin. Probab. Comput. , vol.2 , pp. 437-463
    • Hindman, N.1    Leader, I.2
  • 16
    • 0037339339 scopus 로고    scopus 로고
    • Infinite partition regular matrices: Solutions in central sets
    • To Appear
    • Hindman, N., Leader, I. and Strauss, D. Infinite partition regular matrices: Solutions in central sets. To appear in Trans. Amer. Math. Soc.
    • Trans. Amer. Math. Soc.
    • Hindman, N.1    Leader, I.2    Strauss, D.3
  • 20
    • 0000650714 scopus 로고
    • Ramsey's theorem with sums or unions
    • Milliken, K. (1975) Ramsey's theorem with sums or unions. J. Combin. Theory Ser. A 18 276-290.
    • (1975) J. Combin. Theory Ser. A , vol.18 , pp. 276-290
    • Milliken, K.1
  • 21
    • 0042930080 scopus 로고
    • Finite union theorem with restrictions
    • Nešetřil, J. and Rödl, V. (1980) Finite union theorem with restrictions. Graphs Combin. 2 357-361.
    • (1980) Graphs Combin. , vol.2 , pp. 357-361
    • Nešetřil, J.1    Rödl, V.2
  • 23
    • 24444462473 scopus 로고
    • Partite construction and ramsey space systems
    • (J. Nešetřil and V. Rödl, eds), Springer
    • Nešetřil, J. and Rödl, V. (1990) Partite construction and Ramsey space systems. In Mathematics of Ramsey Theory (J. Nešetřil and V. Rödl, eds), Springer, pp. 98-112.
    • (1990) Mathematics of Ramsey Theory , pp. 98-112
    • Nešetřil, J.1    Rödl, V.2
  • 24
    • 0042784592 scopus 로고
    • Partitions of reals: Measurable approach
    • Plewic, S. and Voigt, B. (1991) Partitions of reals: Measurable approach. J. Combin. Theory Ser. A 58 136-140.
    • (1991) J. Combin. Theory Ser. A , vol.58 , pp. 136-140
    • Plewic, S.1    Voigt, B.2
  • 25
    • 2942525853 scopus 로고
    • Induced partition properties of combinatorial cubes
    • Prömel, H.-J. (1985) Induced partition properties of combinatorial cubes. J. Combin. Theory Ser. A 39 177-208.
    • (1985) J. Combin. Theory Ser. A , vol.39 , pp. 177-208
    • Prömel, H.-J.1
  • 26
  • 28
    • 34250972116 scopus 로고
    • Studien zur Kombinatorik
    • Rado, R. (1933) Studien zur Kombinatorik. Math. Zeit. 36 242-280.
    • (1933) Math. Zeit. , vol.36 , pp. 242-280
    • Rado, R.1
  • 30
    • 84962980345 scopus 로고
    • ℕ* does not contain a algebraic and topological copy of βℕ
    • Strauss, D. (1992) ℕ* does not contain a algebraic and topological copy of βℕ. J. London. Math. Soc. 46 463-470.
    • (1992) J. London. Math. Soc. , vol.46 , pp. 463-470
    • Strauss, D.1
  • 31
    • 0003059254 scopus 로고
    • A canonical partition relation for finite subsets of Ω
    • Taylor, A. (1976) A canonical partition relation for finite subsets of Ω. J. Combin. Theory Ser. A 21 137-146.
    • (1976) J. Combin. Theory Ser. A , vol.21 , pp. 137-146
    • Taylor, A.1
  • 32
    • 0000590051 scopus 로고
    • Beweis einer Baudetschen Vermutung
    • van der Waerden, B. (1927) Beweis einer Baudetschen Vermutung. Nieuw Arch. Wiskunde 19 212-216.
    • (1927) Nieuw Arch. Wiskunde , vol.19 , pp. 212-216
    • Van der Waerden, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.