Plane continua and totally disconnected sets of buried points
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- by Jan van Mill and Murat Tuncali PDF
- Proc. Amer. Math. Soc. 140 (2012), 351-356 Request permission
Abstract:
It is shown that there is a continuum in the plane whose set of buried points is totally disconnected and weakly 1-dimensional, but not zero-dimensional. This answers a problem of Curry, Mayer and Tymchatyn.References
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Additional Information
- Jan van Mill
- Affiliation: Department of Mathematics, Faculty of Sciences, VU University Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
- MR Author ID: 124825
- Email: vanmill@few.vu.nl
- Murat Tuncali
- Affiliation: Department of Computer Science and Mathematics, Nipissing University, 100 College Drive, North Bay, ON, P1B 8L7, Canada
- Email: muratt@nipissingu.ca
- Received by editor(s): November 5, 2010
- Published electronically: May 12, 2011
- Additional Notes: The first author is pleased to thank the Department of Mathematics and Computer Science at Nipissing University for generous hospitality and support.
The second author is partially supported by National Science and Engineering Research Council of Canada grant No. 141066-2000 - Communicated by: Alexander N. Dranishnikov
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 351-356
- MSC (2010): Primary 54F15, 54H20, 37B45
- DOI: https://doi.org/10.1090/S0002-9939-2011-11041-4
- MathSciNet review: 2833545