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Bull. Korean Math. Soc. 2010; 47(1): 121-129
Printed January 1, 2010
https://doi.org/10.4134/BKMS.2010.47.1.121
Copyright © The Korean Mathematical Society.
Invariance of domain theorems for condensing multivalued vector fields
In-Sook Kim
Sungkyunkwan University
Using a degree theory for countably condensing multivalued maps, we show that under certain conditions an invariance of domain theorem holds for countably condensing or countably $k$-contractive multivalued vector fields.
Keywords: invariance of domain, countably condensing, multivalued vector fields, degree theory
MSC numbers: 47H09, 54C60, 47H11
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