Stable/unstable continua of cw-expansive flows (2410.00514v1)

Published 1 Oct 2024 in math.DS

Abstract: We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations between them. We prove the existence of continua with a uniform diameter within each sectionally geometric local stable/unstable set for cw-expansive flows defined on Peano continua.

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