论文信息 - A note on equivalence relations ℓp(ℓq)

A note on equivalence relations ℓp(ℓq)

We consider the equivalence relations on induced by the Banach subspaces . We show that if , then there is no Borel reduction from the equivalence relation , where X is a Banach space, to .

Su Gao | Zhi Yin

[1] Reducibility and nonreducibility between ℓ^{} equivalence relations , 1999 .

[2] EQUIVALENCE RELATIONS AND CLASSICAL BANACH SPACES , 2006 .

[3] Longyun Ding. Borel reducibility and Hölder(α) embeddability between Banach spaces , 2012, J. Symb. Log..

[4] Greg Hjorth,et al. Actions by the classical Banach spaces , 2000, Journal of Symbolic Logic.

[5] I. Farah. Basis Problem for Turbulent Actions II: c0‐Equalities , 2001 .