Blow up of balls and coverings in metric spaces |
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| Authors: | Oleksiy Dovgoshey Olli Martio |
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| Affiliation: | (1) Institute of Applied Mathematics and Mechanics of NASU, R.Luxemburg str.74, 83114 Donetsk, Ukraine;(2) Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland |
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| Abstract: | ![]()
We obtain some refinements and extensions of the Basic Covering Theorem in a metric space (X, ρ). The properties of the metric ρ are used to define an inclusion coefficient k in this theorem, and this is related to the supremum of numbers t such that ρ t is a metric in X. The inclusion coefficient k characterizes ultrametric spaces. |
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| Keywords: | Mathematics Subject Classification (2000) 54E35 |
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