Compact Metric Space

Some articles on spaces, metric spaces, compact metric space, space, metric space, compact:

Lipschitz Maps - Properties
... result to Lipschitz mappings between Euclidean spaces a Lipschitz map ƒ U → Rm, where U is an open set in Rn, is almost everywhere differentiable ... Lipschitz continuous mappings between two metric spaces, and that all have Lipschitz constant bounded by some K ... this implies that the set of real-valued functions on a compact metric space with a particular bound for the Lipschitz constant is a closed and convex subset of the Banach space of continuous functions ...
Cantor Set - Properties - Topological and Analytical Properties
... open sets, it itself is a closed subset of the reals, and therefore a complete metric space ... the Heine–Borel theorem says that it must be compact ... As a compact totally disconnected Hausdorff space, the Cantor set is an example of a Stone space ...

Famous quotes containing the words space and/or compact:

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