This is an announcement for the paper "Uniform Eberlein compactifications of metrizable spaces" by Taras Banakh and Arkady Leiderman.

Abstract: We prove that each metrizable space (of cardinality less or equal to continuum) has a (first countable) uniform Eberlein compactification and each scattered metrizable space has a scattered hereditarily paracompact compactification. Each compact scattered hereditarily paracompact space is uniform Eberlein and belongs to the smallest class of compact spaces, that contain the empty set, the singleton, and is closed under producing the Aleksandrov compactification of the topological sum of a family of compacta from that class.

Archive classification: math.GN math.FA

Mathematics Subject Classification: 54D35, 54G12, 54D30, 54D20

Remarks: 6 pages

Submitted from: tbanakh@yahoo.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1012.0920

or

http://arXiv.org/abs/1012.0920