Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Math. Proc. Camb. Phil. Soc. (1999), 127, 83 Printed in the United Kingdom c 1999 Cambridge Philosophical Society
 

Summary: Math. Proc. Camb. Phil. Soc. (1999), 127, 83
Printed in the United Kingdom c 1999 Cambridge Philosophical Society
83
Chain recurrence in flows on the Klein bottle
By ATHANASSIOS ALEXELLIS
Aetorachis 42-43, GR-11146 Galatsi, Athens, Greece
and KONSTANTIN ATHANASSOPOULOS
Department of Mathematics, University of Crete, GR-71409 Iraklion, Greece
(Received 14 April 1998)
1. Introduction
In the classical PoincarŽe­Bendixson theory the object of study are the limit sets
of a continuous flow on the 2-sphere S2
and the behaviour of the orbits near them
(see [7, 9]). In [2] the second author proved that an assertion similar to the PoincarŽe­
Bendixson theorem is true in the wider class of the 1-dimensional invariant (inter-
nally) chain recurrent continua of flows on S2
. On the other hand, it is known that
among the closed 2-manifolds, the 2-sphere S2
, the projective plane RP2
and the

  

Source: Athanassopoulos, Konstantin - Department of Mathematics, University of Crete

 

Collections: Mathematics