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A note on equivalence relations |
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| Authors: | Su Gao Zhi Yin |
| Institution: | 1. Department of Mathematics, University of North Texas, Denton, TX, United States of America;2. School of Mathematical Sciences, Nankai University, Tianjin, People's Republic of China |
| Abstract: | 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  . |
| Keywords: | |