Some nowhere equicontinuous homeomorphisms
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- by Ki Woong Kim
- Proc. Amer. Math. Soc. 60 (1976), 304-308
- DOI: https://doi.org/10.1090/S0002-9939-1976-0423391-0
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Abstract:
It is shown that a nowhere equicontinuous homeomorphism can be defined on a compact polyhedron X if and only if X does not have cell decomposition which contains a principal 1-cell. It is also shown that for each locally connected contractible continuum C in the plane, there is a nowhere equicontinuous homeomorphism ${h_c}$ on a disk in the plane such that the fixed point set of ${h_c}$ is C.References
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Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 304-308
- MSC: Primary 57E20; Secondary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1976-0423391-0
- MathSciNet review: 0423391