Compactness in the fine topology |
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Authors: | David Spring |
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Institution: | Department of Mathematics, York University, Downsview, Ontario M3J 1P3, Canada |
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Abstract: | For reasonable spaces (including topological manifolds) X, Y, we characterize compact subsets of the space of continuous maps from X to Y, topologized with the fine (Whitney) C0-topology. In the case of smooth manifolds, we characterize also compact subsets of the space of Cr maps in the Whitney Cr topology. |
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Keywords: | 54C35 54A20 Fine topology accumulation point stationary component |
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