Valentin Gutev
Selections and approaching points in products

Comment.Math.Univ.Carolin. 57,1 (2016) 89-95.

Abstract:The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by Garc\'\i a-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of a result of Kat\v etov about complete normality of products. Also, some applications for products with a~ countably compact factor are demonstrated as well.

Keywords: hyperspace; Vietoris topology; weak selection; ordinal space

DOI: DOI 10.14712/1213-7243.2015.147
AMS Subject Classification: 54B20 54C65 54A10 54B10 54F05