Topology properties of small sigma-products of ordinals
by
Paul Szeptycki
York University

Basic properties of small sigma-products of ordinals are established: For example, real valued continuous functions on such spaces have countable range, hence are strongly zero-dimensional. In addition such spaces are countably paracompact, and they are normal if and only if every finite subproduct is normal. Elementary submodels play a crucial role in the proofs, leading to interesting characterizations of normality-like properties in terms of elementary submodels.

Date received: February 19, 2002