A counterexample related to topological sums
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- by Shuji Yamamoto and Atsushi Yamashita PDF
- Proc. Amer. Math. Soc. 134 (2006), 3715-3719 Request permission
Abstract:
In this paper we construct compact metric spaces $X$, $Y$ which are topologically distinct but whose topological sums $X \sqcup X$ and $Y\sqcup Y$ are homeomorphic.References
Additional Information
- Shuji Yamamoto
- Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo 153–8914, Japan
- Email: yamashu@ms.u-tokyo.ac.jp
- Atsushi Yamashita
- Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo 153–8914, Japan
- Email: yonster@ms.u-tokyo.ac.jp
- Received by editor(s): September 27, 2004
- Received by editor(s) in revised form: July 9, 2005
- Published electronically: June 15, 2006
- Additional Notes: The authors are pleased to thank the referee and K. Sakai for their useful comments. The authors also thank S. Saito, who corrected English expressions and many errors in the preliminary version of this paper.
- Communicated by: Alexander Dranishnikov
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3715-3719
- MSC (2000): Primary 54B99, 54G15, 54G20
- DOI: https://doi.org/10.1090/S0002-9939-06-08596-0
- MathSciNet review: 2240688