| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660104 | Topology and its Applications | 2010 | 5 Pages |
Abstract
We construct a continuum X which is not irreducible, and which admits a monotone map f onto [0,1] such that f is monotonically irreducible in the following sense: For each closed proper subset D of X such that f(D)=[0,1], f restricted to D is not monotone. The example answers a question by L. Mohler and L.E. Ward.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
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