Stable/unstable continua of cw-expansive flows
arXiv:2410.00514 · doi:10.1007/s12346-025-01374-z
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.