Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Cut points in Čech-Stone remainders


Authors: Alan Dow and Klaas Pieter Hart
Journal: Proc. Amer. Math. Soc. 123 (1995), 909-917
MSC: Primary 54D40; Secondary 03E50, 54A35, 54F15, 54F50
MathSciNet review: 1216810
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We investigate cut points of subcontinua of $ \beta \mathbb{R}\backslash \mathbb{R}$. We find, under CH, the topologically smallest type of subset of $ \mathbb{R}$ that can support such a cut point. On the other hand we answer Question 66 of Hart and van Mill's Open problems on $ \beta \omega $ [Open Problems in Topology (J. van Mill and G. M. Reed, eds.), North-Holland, Amsterdam, 1990, pp. 97-125] by showing that it is consistent that all cut points are trivial (in a sense to be made precise in the paper).


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D40, 03E50, 54A35, 54F15, 54F50

Retrieve articles in all journals with MSC: 54D40, 03E50, 54A35, 54F15, 54F50


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1216810-5
PII: S 0002-9939(1995)1216810-5
Keywords: Čech-Stone compactification, continuum, cut point, Laver forcing
Article copyright: © Copyright 1995 American Mathematical Society