A NON-TREE-LIKE CONTINUUM THAT IS NOT THE 2-TO-1 IMAGE OF ANY CONTINUUM

Authors
HEATH JW
Citation
Jw. Heath, A NON-TREE-LIKE CONTINUUM THAT IS NOT THE 2-TO-1 IMAGE OF ANY CONTINUUM, Proceedings of the American Mathematical Society, 124(11), 1996, pp. 3571-3578
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
11
Year of publication
1996
Pages
3571 - 3578
Database
ISI
SICI code
0002-9939(1996)124:11<3571:ANCTIN>2.0.ZU;2-6
Abstract
Some thirteen years ago S. B. Nadler, Jr, and L. E. Ward, Jr., asked i f any treelike continuum could be the 2-to-1 image of a continuum. In fact. it has been conjectured that the property of being treelike char acterizes those continua that are not the 2-to-1 image of any continuu m. But the characterization must be something else; this paper shows t hat many pseudo-solenoids are not the 2-to-1 image of any continuum.