Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665522 | Advances in Mathematics | 2015 | 16 Pages |
Abstract
The main result of this paper states that every homogeneous pseudo-path connected continuum is weakly chainable, or equivalently, every homogeneous continuum connected by continuous images of the pseudo-arc is itself a continuous image of the pseudo-arc. We notice that even though there exist homogeneous path connected continua that are not continuous images of an arc (Prajs, 2002), they all are continuous images of the pseudo-arc.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Janusz R. Prajs,