2012FilomatOpen access

Screenableness in countable products

Jianjun Wang, Peiyong Zhu

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Abstract

In this note, it is shown that the product ? n?u Xn is screenable if {Xn : n??} is a countable collection of Cech-scattered screenable spaces. And a group of equivalent conditions of screenableness of products is obtained.

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What this paper is about

In this note, it is shown that the product ? n?u Xn is screenable if {Xn : n??} is a countable collection of Cech-scattered screenable spaces. And a group of equivalent conditions of screenableness of products is obtained.

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Available abstract

In this note, it is shown that the product ? n?u Xn is screenable if {Xn : n??} is a countable collection of Cech-scattered screenable spaces. And a group of equivalent conditions of screenableness of products is obtained.

Key concepts: Mathematics, Countable set, Product (mathematics), Pure mathematics, Discrete mathematics, Combinatorics, Geometry

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