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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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The Sorgenfrey line has a locally pathwise connected connectification
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by Alessandro Fedeli and Attilio Le Donne PDF
Proc. Amer. Math. Soc. 129 (2001), 311-314 Request permission

Abstract:

We answer a question of Alas, Tkačenko, Tkachuk and Wilson by constructing a connected locally pathwise connected Hausdorff space in which the Sorgenfrey line can be densely embedded.
References
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Additional Information
  • Alessandro Fedeli
  • Affiliation: Department of Mathematics, University of L’Aquila, 67100 L’Aquila, Italy
  • Email: alessandro.fedeli@axscaq.aquila.infn.it
  • Attilio Le Donne
  • Affiliation: Department of Mathematics, University of Rome “La Sapienza", 00100 Rome, Italy
  • Email: ledonne@mat.uniroma1.it
  • Received by editor(s): July 24, 1997
  • Received by editor(s) in revised form: March 25, 1999
  • Published electronically: July 27, 2000
  • Communicated by: Alan Dow
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 311-314
  • MSC (2000): Primary 54D35, 54D05
  • DOI: https://doi.org/10.1090/S0002-9939-00-05522-2
  • MathSciNet review: 1694861