Monotone maps of hereditarily indecomposable continua
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- by Wayne Lewis PDF
- Proc. Amer. Math. Soc. 75 (1979), 361-364 Request permission
Abstract:
We prove that every hereditarily indecomposable continuum is the image under an open, monotone map of a one-dimensional hereditarily indecomposable continuum. Thus there exists a one-dimensional hereditarily indecomposable continuum with infinite dimensional hyperspace.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 361-364
- MSC: Primary 54F20; Secondary 54B20, 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0532166-6
- MathSciNet review: 532166