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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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A non-Hausdorff space of CR equivalence classes
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by Howard Jacobowitz PDF
Proc. Amer. Math. Soc. 150 (2022), 5411-5416 Request permission

Abstract:

Examples show that in three dimensions the natural topology on the space of equivalence classes of CR structures need not be Hausdorff. However, the space of equivalence classes of compact aspherical CR structures is Hausdorff. Thus the non-Hausdorff property is due to spherical or Levi-flat points.
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Additional Information
  • Howard Jacobowitz
  • Affiliation: Department of Mathematical Sciences, Rutgers University, Camden, New Jersey 08102
  • MR Author ID: 190037
  • ORCID: 0000-0002-5316-0556
  • Email: jacobowi@camden.rutgers.edu
  • Received by editor(s): November 17, 2021
  • Received by editor(s) in revised form: November 18, 2021, February 24, 2022, and February 25, 2022
  • Published electronically: August 12, 2022
  • Communicated by: Harold P. Boas
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 5411-5416
  • MSC (2020): Primary 32V05; Secondary 54H99
  • DOI: https://doi.org/10.1090/proc/16054