Displaying similar documents to “Duality of measure and category in infinite-dimensional separable Hilbert space 2 .”

Some results on projection of planar sets

Dilip Kumar Ganguly, M. Majumdar (1998)

Czechoslovak Mathematical Journal

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In this paper we define certain types of projections of planar sets and study some properties of such projections.

Beyond Lebesgue and Baire II: Bitopology and measure-category duality

N. H. Bingham, A. J. Ostaszewski (2010)

Colloquium Mathematicae

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We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the density topologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on infinitary combinatorics due to Kestelman and to Borwein and Ditor. We hence give a unified proof of the measure and category cases of the Uniform Convergence Theorem for slowly varying functions. We also extend results on very slowly varying...