Lebesgue number and total boundedness
A generalization of the Lebesgue number lemma is obtained. For a metric space X in the class of strongly metrizable spaces, sufficient conditions for each open cover of X with a Lebesgue number has a finite subcover are obtained. It is proved that, if each countably infinite locally finite open cove...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Odesa National University of Technology
2024-10-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2670 |
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