On Steinhaus Sets, Orbit Trees and Universal Properties of Various Subgroups in the Permutation Group of Natural Numbers
In the first chapter, we define Steinhaus set as a set that meets every isometric copy of another set at exactly one point. We show that there is no Steinhaus set for any four-point subset in a plane.In the second chapter, we define the orbit tree of a permutation group of natural numbers, and furth...
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| Format: | Others |
| Language: | English |
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University of North Texas
2012
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| Online Access: | https://digital.library.unt.edu/ark:/67531/metadc149691/ |