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.
Original language | English |
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Pages (from-to) | 361-364 |
Number of pages | 4 |
Journal | Proceedings of the American Mathematical Society |
Volume | 75 |
Issue number | 2 |
DOIs | |
State | Published - Jul 1979 |
Keywords
- Continuum
- Hyperspace
- Indecomposable
- Monotone