| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660438 | Topology and its Applications | 2007 | 5 Pages |
Abstract
A space X is called pseudo-contractible if there exist a mapping and points a,b∈C, x0∈X, where C is a continuum, fulfilling H(x,a)=x and H(x,b)=x0. We show that the only (up to homeomorphism) pseudo-contractible chainable continuum is the arc. In particular the pseudo-arc is not pseudo-contractible, which answers a question of W. Kuperberg.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
