科研之友
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摘要
Several Banach-Stone-like generalizations of Shirota's result for metrizable uniform spaces are proved. Namely, if complete uniform spaces X, Y have isomorphic lattices U(X), U(Y) of their real-valued uniformly continuous functions, and both X, Y are either some products of spaces having monotone bases (metrizable or uniformly zero-dimensional), or are locally fine and of non-measurable cardinality, then X and Y are uniformly homeomorphic.
- 出版日期2015-10
