A separable non-remainder of $\mathbb {H}$
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- by Alan Dow and Klaas Pieter Hart PDF
- Proc. Amer. Math. Soc. 136 (2008), 4057-4063 Request permission
Abstract:
We prove that there is a compact separable continuum that (consistently) is not a remainder of the real line.References
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Additional Information
- Alan Dow
- Affiliation: Department of Mathematics, University of North Carolina, Charlotte, 9201 University City Blvd., Charlotte, North Carolina 28223-0001
- MR Author ID: 59480
- Email: adow@uncc.edu
- Klaas Pieter Hart
- Affiliation: Faculty of Electrical Engineering, Mathematics and Computer Science, TU Delft, Postbus 5031, 2600 GA Delft, The Netherlands
- Email: k.p.hart@tudelft.nl
- Received by editor(s): August 7, 2007
- Received by editor(s) in revised form: September 19, 2007, and September 25, 2007
- Published electronically: May 27, 2008
- Additional Notes: The first author was supported by NSF grant DMS-0554896
- Communicated by: Julia Knight
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 4057-4063
- MSC (2000): Primary 54F15; Secondary 03E50, 03E65, 54A35, 54D15, 54D40, 54D65
- DOI: https://doi.org/10.1090/S0002-9939-08-09357-X
- MathSciNet review: 2425747