Two-to-one continuous images of ℕ*

• Autorzy: Alan Dow , Geta Techanie
• Języki publikacji: EN

Abstrakty

EN

A function is two-to-one if every point in the image has exactly two inverse points. We show that every two-to-one continuous image of ℕ* is homeomorphic to ℕ* when the continuum hypothesis is assumed. We also prove that there is no irreducible two-to-one continuous function whose domain is ℕ* under the same assumption.

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54A35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 186
• Numer: 2
• Strony: 177-192

Daty

wydano

2005

Twórcy

autor

Alan Dow

• Department of Mathematics, University of North Carolina at Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001, U.S.A.

autor

Geta Techanie

• Department of Mathematics, University of North Carolina at Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001, U.S.A.

Identyfikatory

DOI

10.4064/fm186-2-5