Displaying similar documents to “On boundaries of parallelizable regions of flows of free mappings.”

Orbit Structure of certain ℝ 2 -actions on solid torus

C. Maquera, L. F. Martins (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper we describe the orbit structure of   C 2 -actions of   ℝ 2   on the solid torus   S 1 × D 2   having   S 1 × { 0 }   and   S 1 × ∂ D 2   as the only compact orbits, and   S 1 × { 0 }   as singular set.

Orbits connecting singular points in the plane

Changming Ding (2005)

Czechoslovak Mathematical Journal

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This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed. ...

Function spaces on ordinals

Rafał Górak (2005)

Commentationes Mathematicae Universitatis Carolinae

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We give a partial classification of spaces C p ( [ 1 , α ] ) of continuous real valued functions on ordinals with the topology of pointwise convergence with respect to homeomorphisms and uniform homeomorphisms.