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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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