Classification of $\mathcal {A}$-simple germs from $k^n$ to $k^2$

J. H. Rieger; M. A. S. Ruas

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

Natural group actions on tensor products of three real vector spaces with finitely many orbits.

Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)

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How restrictive is topological dynamics?

Anzelm Iwanik (1997)

Commentationes Mathematicae Universitatis Carolinae

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Let $T$ be a permutation of an abstract set $X$ . In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the $T$ -orbits that allows us to topologize $(X, T)$ as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for $𝐙^{2}$ -actions without periodic points.

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Displaying similar documents to “Classification of 𝒜 -simple germs from k n to k 2 ”

Displaying similar documents to “Classification of $𝒜$ -simple germs from $k^{n}$ to $k^{2}$ ”