Concerning upper semicontinuous decompositions of irreducible continua.
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- by W. R. R. Transue, J. W. Hinrichsen and B. Fitzpatrick PDF
- Proc. Amer. Math. Soc. 30 (1971), 157-163 Request permission
Abstract:
Let $\mathcal {K}$ denote the class of all compact metric continua K such that there exists a monotone mapping from a compact metric irreducible continuum M onto an arc such that each point inverse is homeomorphic to K. It is shown that no connected 1-polyhedron other than an arc is an element of $\mathcal {K}$, but that $\mathcal {K}$ contains certain locally connected continua.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 157-163
- MSC: Primary 54.55
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279774-0
- MathSciNet review: 0279774