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

 

Manifolds: Hausdorffness versus homogeneity


Authors: Mathieu Baillif and Alexandre Gabard
Journal: Proc. Amer. Math. Soc. 136 (2008), 1105-1111
MSC (2000): Primary 57N99, 54D10, 54E52.
Published electronically: November 30, 2007
MathSciNet review: 2361887
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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: http://dx.doi.org/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
Published electronically: November 30, 2007
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.