Currently displaying 1 – 6 of 6

Showing per page

Order by Relevance | Title | Year of publication

Wallman covers of compact spaces

M. Henriksen;  J. Vermeer;  R. G. Woods — 1989

CONTENTS§1. Introduction.......................................................................................................5§2. The construction of the Wallman cover.............................................................8§3. The minimal clopen cozero-complemented cover of a compact space............16§4. Wallman compactifications versus Wallman cover...........................................24References...........................................................................................................31...

A minimal regular ring extension of C(X)

M. Henriksen;  R. Raphael;  R. G. Woods — 2002

Fundamenta Mathematicae

Let G(X) denote the smallest (von Neumann) regular ring of real-valued functions with domain X that contains C(X), the ring of continuous real-valued functions on a Tikhonov topological space (X,τ). We investigate when G(X) coincides with the ring C ( X , τ δ ) of continuous real-valued functions on the space ( X , τ δ ) , where τ δ is the smallest Tikhonov topology on X for which τ ⊆ τ δ and C ( X , τ δ ) is von Neumann regular. The compact and metric spaces for which G ( X ) = C ( X , τ δ ) are characterized. Necessary, and different sufficient, conditions...

Page 1

Download Results (CSV)