Defining a subset B of a connected topological space T to be a barrier (in T ) if B is connected and its complement T -B is disconnected, we will investigate barriers B in the tight span of a metric D defined on a finite set X (endowed, as a subspace of R X , with the metric and the topology induce
Metric spaces in NMR crystallography
โ Scribed by David M. Grant; Merrill D. Halling
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 345 KB
- Volume
- 34A
- Category
- Article
- ISSN
- 1546-6086
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๐ SIMILAR VOLUMES
We introduce the class of KKM-type mappings on metric spaces and establish some fixed point theorems for this class. We also obtain a generalized Fan's matching theorem, a generalized Fan-Browder's type theorem, and a new version of Fan's best approximation theorem.
Concepts for curvature of arcs in metric geometry (specifically, Menger curvature KM, Haantjes-Finsler curvature Kn, and transverse curvature '~r introduced earlier by the author) are compared with respect to existence and numerical values. If a metric space satisfies a certain metric inequality sha