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arXiv · 1403.2106

Entropy of continuous maps on quasi-metric spaces

Yamin Sayyari·Mohammadreza Molaei·Saeed M. Moghayer
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Abstract

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.

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Yamin Sayyari, Mohammadreza Molaei, Saeed M. Moghayer. 2014-03-09. Entropy of continuous maps on quasi-metric spaces. https://arxiv.org/abs/1403.2106

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