Vol. 57, No. 1, 1975

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Showering spaces

Ronald Fred Levy

Vol. 57 (1975), No. 1, 223–232
Abstract

For each triple a,β,ω where α > 0 and β 0 are cardinal numbers and ω > 0 is an ordinal number, Sα,βω is defined. It is proved that Sα,βω is Hausdorff, paracompact and zero-dimensional. Various topological properties of Sa,βω are discussed and are used to give examples.

Mathematical Subject Classification 2000
Primary: 54G10
Milestones
Received: 12 June 1974
Published: 1 March 1975
Authors
Ronald Fred Levy