The surjective semispan for Hausdorff continua (Q960847)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The surjective semispan for Hausdorff continua |
scientific article; zbMATH DE number 5687495
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The surjective semispan for Hausdorff continua |
scientific article; zbMATH DE number 5687495 |
Statements
The surjective semispan for Hausdorff continua (English)
0 references
29 March 2010
0 references
\textit{A. Lelek} in [Colloq. Math. 37, 35--45 (1977; Zbl 0368.54006)] introduced the notion of surjective semispan for metric continua. In the paper under review, using uniformities, the author extends Lelek's definition to Hausdorff continua (compact connected Hausdorff spaces). The author proves that chainable Hausdorff continua have empty surjective semispan. As a consequence he shows that each map from a Hausdorff continuum onto a chainable continuum is universal; in particular, he obtains that chainable Hausdorff continua have the fixed point property.
0 references
continua
0 references
chainable continua
0 references
Hausdorff continua
0 references
surjective semispan
0 references