Manifolds: Hausdorffness versus homogeneity
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- by Mathieu Baillif and Alexandre Gabard PDF
- Proc. Amer. Math. Soc. 136 (2008), 1105-1111 Request permission
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.References
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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
- 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
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1105-1111
- MSC (2000): Primary 57N99, 54D10, 54E52
- DOI: https://doi.org/10.1090/S0002-9939-07-09100-9
- MathSciNet review: 2361887