The Space of Simple Configurations is Polish
Copyright policy )The Space of Simple Configurations is Polish
For a noncompact, locally compact, connected, complete metric space \(M\), let \(\widehat\Gamma\) denote the configuration space with multiple points on \(M\) and let \(\Gamma\) denote the subset of simple configurations. Then the weak topology on \(\widehat\Gamma\) and the subspace topology on \(\Gamma\) are both separable and are both generated by complete metrics. Characterisations of precompact subsets of each space are given.
- Bauman Moscow State Technical University Russian Federation
- Moscow State Technological University Russian Federation
precompact subsets, Discriminantal varieties and configuration spaces in algebraic topology, complete metric space, Complete metric spaces, Compactness in topological linear spaces; angelic spaces, etc., configuration space
precompact subsets, Discriminantal varieties and configuration spaces in algebraic topology, complete metric space, Complete metric spaces, Compactness in topological linear spaces; angelic spaces, etc., configuration space
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