Showering spaces

Ronald Fred Levy

Vol. 57 (1975), No. 1, 223–232

DOI: 10.2140/pjm.1975.57.223

Abstract

For each triple a,β,ω where α > 0 and β ≧ℵ₀ are cardinal numbers and ω > 0 is an ordinal number, S_α,β^ω is defined. It is proved that S_α,β^ω is Hausdorff, paracompact and zero-dimensional. Various topological properties of S_a,β^ω are discussed and are used to give examples.

Mathematical Subject Classification 2000

Primary: 54G10

Milestones

Received: 12 June 1974

Published: 1 March 1975