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Homogeneous and inhomogeneous manifolds
Author(s):
Paul
Gartside;
David
Gauld;
Sina
Greenwood
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3363-3373.
MSC (2000):
Primary 54D10, 54D20, 57R30, 57N05, 57S05
Posted:
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.
References:
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- 1.
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- 2.
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- 3.
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- 4.
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- 5.
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 par des feuilles fermées de dimension  , Colloque de Topologie de Strasbourg, 1955. - 6.
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- 7.
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- 8.
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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:
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
Posted:
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
Copyright of article:
Copyright
2008,
American Mathematical Society
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