Two-to-one continuous images of ℕ*

Alan Dow, and Geta Techanie. "Two-to-one continuous images of ℕ*." Fundamenta Mathematicae 186.2 (2005): 177-192. <http://eudml.org/doc/283053>.

@article{AlanDow2005,
abstract = {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.},
author = {Alan Dow, Geta Techanie},
journal = {Fundamenta Mathematicae},
keywords = {two-to-one map; irreducible map; continuum hypothesis; Stone-Čech compactification},
language = {eng},
number = {2},
pages = {177-192},
title = {Two-to-one continuous images of ℕ*},
url = {http://eudml.org/doc/283053},
volume = {186},
year = {2005},
}

TY - JOUR
AU - Alan Dow
AU - Geta Techanie
TI - Two-to-one continuous images of ℕ*
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 2
SP - 177
EP - 192
AB - 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.
LA - eng
KW - two-to-one map; irreducible map; continuum hypothesis; Stone-Čech compactification
UR - http://eudml.org/doc/283053
ER -