Vol. 88, No. 1, 1980

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Two questions on Wallman rings

José L. Blasco Olcina

Vol. 88 (1980), No. 1, 29–33
Abstract

In this paper we give an example of a Wallman ring 𝒜 on a topological space X such that the associated compactification ω(X,Z(𝒜)) is disconnected and 𝒜 is not a direct sum of any two proper ideals, herewith solving a question raised by H. L. Bentley and B. J. Taylor. Also, an example of a uniformly closed Wallman ring which is not a sublattice is given.

Mathematical Subject Classification 2000
Primary: 54C99
Secondary: 46J10
Milestones
Received: 2 May 1979
Published: 1 May 1980
Authors
José L. Blasco Olcina