A metric characterisation of compact plane retracts and applications
β Scribed by B. M. Garay
- Book ID
- 112609645
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 494 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0373-3114
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π SIMILAR VOLUMES
## Abstract Compact metric spaces Ο of such a kind, that πΉ~__f__~ =πΉ(__X__), are characterized, πΉ(__X__) is the Οβfield of BOREL sets and πΉ~__f__~(__X__) is the field generated by all open subset of __X__. Our main result is Theorem 5: If Ο is a compact metric space, then the following conditions a
A n algorithm is given for computing a metric on piecewise linear curves. A bound for the distance between a piecewise linear approximation and a general curve alia ws the approximate computation of the metric on general curves. The algorithm has been successfully implemented in Fortran. geometry~ m