TY - JOUR 
A1 - Jiménez López, Victor
AU - Soler López, Gabriel
T1 - Empty interior recurrence for continuous flows on surfaces
Y1 - 2009
SN - 0218-1274
UR - http://hdl.handle.net/10317/1178
AB - 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.
KW - Matemática Aplicada
KW - Flujos
KW - Conjunto ω-limite
KW - Familia factible
KW - Conjunto excepcional
KW - Conjunto ω-limite excepcional
KW - Flow
KW - ω-limit set
KW - Feasible family
KW - Exceptional set
KW - Exceptional ω-limit set
LA - eng
ER -