Bitopology and measure-category duality
نویسندگان
چکیده
We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the density toplologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on in nitary combinatorics due to Kestelman and to Borwein and Ditor. As a by-product we give a uni ed proof of the measure and category cases of Uniform Convergence Theorem for slowly varying functions. Classi cation: 26A03
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تاریخ انتشار 2008