%0 Journal Article
%A Jiménez López, Victor
%A Soler López, Gabriel
%T Empty interior recurrence for continuous flows on surfaces
%D 2009
%@ 0218-1274
%U http://hdl.handle.net/10317/1178
%X In this paper we characterize topologically the empty interior subsets of a compact surface
S which can be ω-limit sets of recurrent orbits (but of no nonrecurrent ones) of continuous
flows on S. This culminates the classification of ω-limit sets for surface flows initiated in
[Jiménez & Soler, 2001], [Soler, 2003], [Jiménez & Soler, 2004], and [Jiménez & Soler, 2004b].
We also show that this type of ω-limit sets can always be realized (up to topological equivalence)
by smooth flows but cannot be realized by analytic flows.
%K Flujos
%K Conjunto ω-limite
%K Familia factible
%K Conjunto excepcional
%K Conjunto ω-limite excepcional
%K Flow
%K ω-limit set
%K Feasible family
%K Exceptional set
%K Exceptional ω-limit set
%K Matemática Aplicada
%~ GOEDOC, SUB GOETTINGEN