Having cut-points is not a Whitney reversible property
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- by Eiichi Matsuhashi PDF
- Proc. Amer. Math. Soc. 137 (2009), 3543-3545 Request permission
Abstract:
We show that the property of having cut-points is not a Whitney reversible property. This answers in the negative a question posed by Illanes and Nadler.References
- R. D. Anderson, Atomic decompositions of continua, Duke Math. J. 23 (1956), 507–514. MR 82668
- Alejandro Illanes and Sam B. Nadler Jr., Hyperspaces, Monographs and Textbooks in Pure and Applied Mathematics, vol. 216, Marcel Dekker, Inc., New York, 1999. Fundamentals and recent advances. MR 1670250
- Sam B. Nadler Jr., Continuum theory, Monographs and Textbooks in Pure and Applied Mathematics, vol. 158, Marcel Dekker, Inc., New York, 1992. An introduction. MR 1192552
Additional Information
- Eiichi Matsuhashi
- Affiliation: Faculty of Engineering, Yokohama National University, Yokohama, 240-8501, Japan
- Email: mateii@ynu.ac.jp
- Received by editor(s): December 23, 2008
- Received by editor(s) in revised form: January 6, 2009
- Published electronically: May 6, 2009
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3543-3545
- MSC (2000): Primary 54B20; Secondary 54F15
- DOI: https://doi.org/10.1090/S0002-9939-09-09895-5
- MathSciNet review: 2515424