| Autor: |
Sayyari, Yamin, Molaei, Mohammadreza, Moghayer, Saeed M. |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
Journal of Advanced Research in Dynamical and Control Systems, 7, 4, 2015, pp. 1-10 |
| Druh dokumentu: |
Working Paper |
| Popis: |
The category of metric spaces is a subcategory of quasi-metric spaces. In this paper the notion of entropy for the continuous maps of a quasi-metric space is extended via spanning and separated sets. Moreover, two metric spaces that are associated to a given quasi-metric space are introduced and the entropy of a map of a given quasi-metric space and the maps of its associated metric spaces are compared. It is shown that the entropy of a map when symmetric properties is included is grater or equal to the entropy in the case that the symmetric property of the space is not considered. |
| Databáze: |
arXiv |
| Externí odkaz: |
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