ON THE ORDER OF METRIC APPROXIMATION OF MAXIMAL LINKED SYSTEMS AND CAPACITARIAN DIMENSIONS
It is shown that in any metric compact space X there exists a countable closed subset F whose upper capacitarian dimension dimBF is equal to any preassigned non-negative number not exceeding the upper capacitarian dimension of X. A similar assertion is proved for the upper order of the metric approx...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Karelian Research Centre of the Russian Academy of Sciences
2019-06-01
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| Series: | Transactions of the Karelian Research Centre of the Russian Academy of Sciences |
| Subjects: | |
| Online Access: | http://journals.krc.karelia.ru/index.php/mathem/article/view/1034 |