Possible heights of graph transformation groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866929213225828352 |
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| author | Shirazi, Fatemah Ayatollah Zadeh Hosseini, Arezoo Ahmadabadi, Zahra Nili |
| author_facet | Shirazi, Fatemah Ayatollah Zadeh Hosseini, Arezoo Ahmadabadi, Zahra Nili |
| contents | 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 $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_10855 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Possible heights of graph transformation groups Shirazi, Fatemah Ayatollah Zadeh Hosseini, Arezoo Ahmadabadi, Zahra Nili Geometric Topology 54H20 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 $X$. |
| title | Possible heights of graph transformation groups |
| topic | Geometric Topology 54H20 |
| url | https://arxiv.org/abs/1710.10855 |