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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A separable non-remainder of $ \mathbb{H}$


Authors: Alan Dow and Klaas Pieter Hart
Journal: Proc. Amer. Math. Soc. 136 (2008), 4057-4063
MSC (2000): Primary 54F15; Secondary 03E50, 03E65, 54A35, 54D15, 54D40, 54D65
Published electronically: May 27, 2008
MathSciNet review: 2425747
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Abstract: We prove that there is a compact separable continuum that (consistently) is not a remainder of the real line.


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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
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

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09357-X
PII: S 0002-9939(08)09357-X
Keywords: Separable continuum, continuous image, $\mathbb {H}^*$, $\beta X$, $\mathsf {OCA}$
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.