Some non-uniformly homeomorphic spaces |
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Authors: | Anthony Weston |
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Institution: | (1) Department of Mathematics & Computer Science, Kent State University, 44240 Kent, OH, USA |
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Abstract: | in this paper we prove that for 0<p, q≤1 the real F-spacesL
q0, 1] and ℓ
p
are not uniformly homeomorphic. The particular casep=q=1 is due to Enflo and our work is motivated by his.
Partially supported by NSF grant #DMS-9104040. The author would like to dedicate this paper to Nancy and Bernie Weston on
the occasion of their 40th wedding anniversary. |
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Keywords: | |
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