Can a $2$-coherent Peano continuum separate $E^{3}$?
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- by W. C. Chewning PDF
- Proc. Amer. Math. Soc. 30 (1971), 185-188 Request permission
Abstract:
The fact that there are unicoherent continua which separate ${E^2}$ is well known, e.g., a circle with a spiral converging onto it is such a continuum. In this paper we extend this pathology by describing a Peano continuum which separates ${E^3}$ and has the property that however it is written as the union of two unicoherent Peano continua, their intersection is unicoherent.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 185-188
- MSC: Primary 54.55
- DOI: https://doi.org/10.1090/S0002-9939-1971-0288733-3
- MathSciNet review: 0288733