Displaying similar documents to “Decomposable inverse limits with a single bonding map on [0,1] below the identity”

Two-to-one continuous images of ℕ*

Alan Dow, Geta Techanie (2005)

Fundamenta Mathematicae

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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.