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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Homogeneous and inhomogeneous manifolds


Authors: Paul Gartside, David Gauld and Sina Greenwood
Journal: Proc. Amer. Math. Soc. 136 (2008), 3363-3373
MSC (2000): Primary 54D10, 54D20, 57R30, 57N05, 57S05
Published electronically: May 6, 2008
MathSciNet review: 2407104
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Abstract: All metaLindelöf, and most countably paracompact, homogeneous manifolds are Hausdorff. Metacompact manifolds are never rigid. Every countable group can be realized as the group of autohomeomorphisms of a Lindelöf manifold. There is a rigid foliation of the plane.


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Additional Information

Paul Gartside
Affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Email: gartside@math.pitt.edu

David Gauld
Affiliation: Department of Mathematics, University of Auckland, Auckland, New Zealand
Email: d.gauld@auckland.ac.nz

Sina Greenwood
Affiliation: Department of Mathematics, University of Auckland, Auckland, New Zealand
Email: s.greenwood@auckland.ac.nz

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09343-X
PII: S 0002-9939(08)09343-X
Keywords: Manifold, not Hausdorff, homogeneous, rigid, foliations
Received by editor(s): May 22, 2007
Received by editor(s) in revised form: August 8, 2007
Published electronically: May 6, 2008
Additional Notes: This work was supported in part by the Marsden Fund Council from government funding, administered by the Royal Society of New Zealand.
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2008 American Mathematical Society