- Abstract:
-
A two-point set is a subset of the plane which meets every planar line in exactly two-points. We discuss the problem “What are the topological symmetries of a two-point set?”. Our main results assert the existence of two-point sets which are rigid and the existence of two-point sets which are invariant under the action of certain autohomeomorphism groups. We pay particular attention to the isometry group of a two-point set, and show that such groups consist only of rotations and that they may...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
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(pdf, 141.7kb)
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- Publisher copy:
- 10.1016/j.topol.2008.02.009
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- Publisher:
- Elsevier Inc. Publisher's website
- Journal:
- Topology and its Applications Journal website
- Volume:
- 156
- Issue:
- 11
- Pages:
- 1213–1220
- Publication date:
- 2008-06-05
- DOI:
- ISSN:
-
0166-8641
- URN:
-
uuid:126680e1-d0c8-4888-872b-7f36a75e7f45
- Local pid:
- ora:10774
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 2008
- Notes:
- Copyright 2008 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
Journal article
Symmetries of two-point sets
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