Journal article

On affine groups admitting invariant two-point sets

Abstract:: A two-point set is a subset of the plane which meets every line in exactly two points. We discuss previous work on the topological symmetries of a two-point set, and show that there exist subgroups of S¹ which do not leave any two-point set invariant. Further, we show that two-point sets may be chosen to be topological groups, in which case they are also homogeneous.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Chad, B., & Suabedissen, R. (2009). On affine groups admitting invariant two-point sets. Topology and Its Applications, 156(13), 2209–2213.

MLA Style

Chad, B., and R. Suabedissen. “On Affine Groups Admitting Invariant Two-Point Sets.” Topology and Its Applications, Publisher's version, vol. 156, no. 13, Elsevier, 2009, pp. 2209–13.

Chicago Style

Chad, B, and R Suabedissen. 2009. “On Affine Groups Admitting Invariant Two-Point Sets.” Topology and Its Applications 156 (13): 2209–13.
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Files:: On-affine-groups-admitting-invariant-two-point-sets_2009_Topol...

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Publisher copy:: 10.1016/j.topol.2009.05.002

Authors

+ Chad, B More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: St Edmund Hall
Role:: Author

+ Suabedissen, R More by this author

Institution:: University of Oxford
Division:: MPLS
Oxford college:: Lady Margaret Hall
Role:: Author

Publisher:: Elsevier
Journal:: Topology and its Applications More from this journal
Volume:: 156
Issue:: 13
Pages:: 2209–2213
Publication date:: 2009-08-01
Edition:: Publisher's version
DOI:: 10.1016/j.topol.2009.05.002
ISSN:: 0166-8641

Language:: English
Keywords:: two-point set

isometry group

homogeneous
Subjects:: Analytic Topology or Topology

Algebraic topology
UUID:: uuid:81c0b813-086b-4cb0-8646-b91fd31fd03a
Local pid:: ora:10775
Deposit date:: 2015-03-31

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2009
Notes:: Copyright 2009 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/

Licence:: Other

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