Charles University in Prague, Faculty of Mathematics and Physics
Abstract
summary:In this paper, we discuss covering properties in countable products of Čech-scattered spaces and prove the following: (1) If Y is a perfect subparacompact space and {Xn:n∈ω} is a countable collection of subparacompact Čech-scattered spaces, then the product Y×∏n∈ωXn is subparacompact and (2) If {Xn:n∈ω} is a countable collection of metacompact Čech-scattered spaces, then the product ∏n∈ωXn is metacompact