메뉴 건너뛰기




Volumn 129, Issue 3, 2001, Pages 759-764

A dichotomy theorem for subsets of the power set of the natural numbers

Author keywords

Dichotomy; Ramsey theory; Schreier sets

Indexed keywords


EID: 23044525338     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05594-5     Document Type: Article
Times cited : (42)

References (19)
  • 1
    • 0001891652 scopus 로고
    • Complexity of weakly null sequences
    • MR 93j:46014
    • D. Alspach and S.A. Argyros, Complexity of weakly null sequences, Disscrtationcs Mathematicac 321 (1992), 1-44. MR 93j:46014
    • (1992) Disscrtationcs Mathematicac , vol.321 , pp. 1-44
    • Alspach, D.1    Argyros, S.A.2
  • 2
    • 0001271011 scopus 로고    scopus 로고
    • Distorting mixed Tsirelson spaces
    • CMP 99:11
    • G. Androulakis and E. Odell, Distorting mixed Tsirelson spaces, Israel J. Math. 109 (1999), 125-149. CMP 99:11
    • (1999) Israel J. Math. , vol.109 , pp. 125-149
    • Androulakis, G.1    Odell, E.2
  • 4
    • 0032440917 scopus 로고    scopus 로고
    • Convex unconditionally and summability of weakly null sequences
    • CMP 99:05
    • S.A. Argyros, S. Mercourakis and A. Tsarpalias, Convex unconditionally and summability of weakly null sequences, Israel J. Math. 107 (1998), 157-193. CMP 99:05
    • (1998) Israel J. Math. , vol.107 , pp. 157-193
    • Argyros, S.A.1    Mercourakis, S.2    Tsarpalias, A.3
  • 7
    • 0001276042 scopus 로고
    • A new proof that analytic sets arc Ramsey
    • MR 50:1887
    • E. Ellcntuck, A new proof that analytic sets arc Ramsey, J. Symbolic Logic 39 (1974), 163-165. MR 50:1887
    • (1974) J. Symbolic Logic , vol.39 , pp. 163-165
    • Ellcntuck, E.1
  • 8
    • 0000872763 scopus 로고
    • Borel sets and Ramsey's theorem
    • MR 49:2399
    • F. Galvin and K. Prikry, Borel sets and Ramsey's theorem, J. Symbolic Logic 38 (1973), 193-198. MR 49:2399
    • (1973) J. Symbolic Logic , vol.38 , pp. 193-198
    • Galvin, F.1    Prikry, K.2
  • 10
    • 0010161385 scopus 로고    scopus 로고
    • A dichotomy on Schreier sets
    • CMP 99:07
    • R. Judd, A dichotomy on Schreier sets, Studia Math. 132 (1999), 245-256. CMP 99:07
    • (1999) Studia Math. , vol.132 , pp. 245-256
    • Judd, R.1
  • 12
    • 0000725695 scopus 로고
    • On well quasi-ordering transfinite sequences
    • MR 30:3850
    • C. St. J. A. Nash-Williams, On well quasi-ordering transfinite sequences, Proc. Camb. Phil. Soc. 61 (1965), 33-39. MR 30:3850
    • (1965) Proc. Camb. Phil. Soc. , vol.61 , pp. 33-39
    • Nash-Williams, C.1
  • 13
    • 0002365425 scopus 로고
    • Contribution a la topologie des ensembles denomrables
    • S. Mazurkiewicz and W. Sierpinski, Contribution a la topologie des ensembles denomrables, Fund. Math. 3 (1920), 17-27.
    • (1920) Fund. Math. , vol.3 , pp. 17-27
    • Mazurkiewicz, S.1    Sierpinski, W.2
  • 14
    • 0002174652 scopus 로고
    • Applications of Ramsey theorems to Banach space theory
    • (H.E. Lacey ed.), Univ. of Texas Press MR 83g:46018
    • E. Odell, Applications of Ramsey theorems to Banach space theory, Notes in Banach spaces, (H.E. Lacey ed.), Univ. of Texas Press (1980), 379-404. MR 83g:46018
    • (1980) Notes in Banach Spaces , pp. 379-404
    • Odell, E.1
  • 15
    • 0008562971 scopus 로고    scopus 로고
    • A problem on spreading models
    • MR 99c:46006
    • E. Odell and Th. Schlumprecht, A problem on spreading models, J. Funct. Anal. 153 (1998), 249-261. MR 99c:46006
    • (1998) J. Funct. Anal. , vol.153 , pp. 249-261
    • Odell, E.1    Schlumprecht, T.2
  • 17
    • 0002330503 scopus 로고
    • Ein Gegenbeispiel zur theorie der schwachen konvergenz
    • J. Schreier, Ein Gegenbeispiel zur theorie der schwachen konvergenz, Studia Math. 2 (1930), 58-62.
    • (1930) Studia Math. , vol.2 , pp. 58-62
    • Schreier, J.1
  • 18
    • 0003060727 scopus 로고
    • Every analytic set is Ramsey
    • MR 48:10807
    • J. Silver, Every analytic set is Ramsey, J. Symbolic Logic 35 (1970), 60-64. MR 48:10807
    • (1970) J. Symbolic Logic , vol.35 , pp. 60-64
    • Silver, J.1
  • 19
    • 22444455187 scopus 로고    scopus 로고
    • A note on Ramsey property
    • MR 99c:04005
    • A. Tsarpalias, A note on Ramsey property, Proc. A.M.S. 127 (1999), no. 2, 583-587. MR 99c:04005
    • (1999) Proc. A.M.S. , vol.127 , Issue.2 , pp. 583-587
    • Tsarpalias, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.