Possible heights of graph transformation groups

30 Oct 2017 Fatemah Ayatollah Zadeh Shirazi Arezoo Hosseini Zahra Nili Ahmadabadi

In the following text we prove that for all finite $p\geq0$ there exists a topological graph $X$ such that $\{p,p+1,p+2,\ldots\}\cup\{+\infty\}$ is the collection of all possible heights for transformation groups with phase space $X$. Moreover for all topological graph $X$ with $p$ as height of transformation group $(Homeo(X),X)$, $\{p,p+1,p+2,\ldots\}\cup\{+\infty\}$ again is the collection of all possible heights for transformation groups with phase space $X$...

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Categories


  • GEOMETRIC TOPOLOGY
  • 54H20