Entropy of continuous maps on quasi-metric spaces
article
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. © 2015 Institute of Advanced Scientific Research.
TNO Identifier
528806
ISSN
1943023X
Source
Journal of Advanced Research in Dynamical and Control Systems, 7(4), pp. 1-10.
Publisher
Institute of Advanced Scientific Research, Inc.
Pages
1-10
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