No arc-connected treelike continuum is the 2-to-1 image of a continuum

• Autorzy: Jo Heath , Van C. Nall
• Języki publikacji: EN

Abstrakty

EN

In 1940, O. G. Harrold showed that no arc can be the exactly 2-to-1 continuous image of a metric continuum, and in 1947 W. H. Gottschalk showed that no dendrite is a 2-to-1 image. In 2003 we show that no arc-connected treelike continuum is the 2-to-1 image of a continuum.

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 180
• Numer: 1
• Strony: 11-24

Daty

wydano

2003

Twórcy

autor

Jo Heath

• Mathematics Department, Parker Hall, Auburn University, Auburn, AL 36849-5310, U.S.A.

autor

Van C. Nall

• Department of Mathematics and Computer Science, University of Richmond, Richmond, VA 23173, U.S.A.

Identyfikatory

DOI

10.4064/fm180-1-2