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Topological completeness of first countable Hausdorff spaces I

H. Wicke, J. Worrell (1972)

Fundamenta Mathematicae

Trivial bundles and near-homeomorphisms

A. Chigogidze (1989)

Fundamenta Mathematicae

True preimages of compact or separable sets for functional analysts

Lech Drewnowski (2020)

Commentationes Mathematicae Universitatis Carolinae

We discuss various results on the existence of ‘true’ preimages under continuous open maps between $F$ -spaces, $F$ -lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.

Two extension theorems for functions

Pu, H.W., Pu, H.H. (1975)

Portugaliae mathematica

Two theorems concerning BI-quotient maps

Lj. Kočinac (1986)

Matematički Vesnik

Two-to-one continuous images of ℕ*

Alan Dow, Geta Techanie (2005)

Fundamenta Mathematicae

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.

Displaying 21 – 26 of 26

Topological completeness of first countable Hausdorff spaces I

Trivial bundles and near-homeomorphisms

True preimages of compact or separable sets for functional analysts

Two extension theorems for functions

Two theorems concerning BI-quotient maps

Two-to-one continuous images of ℕ*

Currently displaying 21 – 26 of 26