Commun. Korean Math. Soc. 2020; 35(1): 287-300
Printed January 31, 2020
https://doi.org/10.4134/CKMS.c180538
Copyright © The Korean Mathematical Society.
Pramod Das, Tarun Das
University of Delhi; University of Delhi
We introduce and study notions of expansivity, topological stability and persistence for Borel measures with respect to time varying bi-measurable maps on metric spaces. We prove that on Mandelkern locally compact metric spaces expansive persistent measures are topologically stable in the class of all time varying homeomorphisms.
Keywords: Expansive homeomorphisms, expansive measures, shadowing, persistence, topological stability
MSC numbers: Primary 54H20, Secondary 37B55
2020; 35(4): 1309-1318
2017; 32(1): 201-214
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