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Borel Equivalence Relations between l_1and l_p

Borel Equivalence Relations between l_1 and l_p
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摘要 In this paper, we show that, for each p 〉 1, there are continuum many Borel equivalence relations between Rω/l1 and Rω/p ordered by ≤B which are pairwise Borel incomparable. In this paper, we show that, for each p 〉 1, there are continuum many Borel equivalence relations between Rω/l1 and Rω/p ordered by ≤B which are pairwise Borel incomparable.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第12期2391-2396,共6页 数学学报(英文版)
基金 supported by National Natural Science Foundation of China(Grant No.11071129) Program for New Century Excellent Talents in University(Grant No.09-0477)
关键词 Borel equivalence relation Borel reducibility Borel equivalence relation, Borel reducibility
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参考文献5

  • 1Dougherty, R., Hjorth, G.: Reducibility and nonreducibility between gP equivalence relations Math. Sot:., 351, 1835 1844 (1999).
  • 2Gao, S.: Invariant Descriptive Set Theory, Monographs and Textbooks in Pure and Applied Vol. 293. CRC Press. Boca Raton. 2008.
  • 3Gao, S.: Equivalence Relations and Classical Banach Spaces. In: Mathematical Logic in Asia, World Sci Publ., Hackensack, N J, 2006, 789.
  • 4Kechiris, A. S.: Classical Descriptive Set Theory, Graduate Texts iIl Mathematics, Vol. 156, Springer-Verlag New York, 1995.
  • 5MgLtrai, T.: On @-like equivalence relations. Real Anal. Ezchange, 34(2), 377 412 (2008).

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