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Manifolds: Hausdorffness versus homogeneity
Author(s):
Mathieu
Baillif;
Alexandre
Gabard
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1105-1111.
MSC (2000):
Primary 57N99, 54D10, 54E52.
Posted:
November 30, 2007
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Abstract:
We analyze the relationship between Hausdorffness and homogeneity in the frame of manifolds not confined to be Hausdorff. We exhibit examples of homogeneous non-Hausdorff manifolds and prove that a Lindelöf homogeneous manifold is Hausdorff.
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Additional Information:
Mathieu
Baillif
Affiliation:
Université de Genève, Section de Mathématiques, 2-4, rue du Lièvre, CP 64, 1211 Genève 4, Suisse
Email:
baillif@math.unige.ch
Alexandre
Gabard
Affiliation:
Université de Genève, Section de Mathématiques, 2-4, rue du Lièvre, CP 64, 1211 Genève 4, Suisse
Email:
alexandregabard@hotmail.com
DOI:
10.1090/S0002-9939-07-09100-9
PII:
S 0002-9939(07)09100-9
Received by editor(s):
September 5, 2006
Received by editor(s) in revised form:
November 1, 2006
Posted:
November 30, 2007
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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