On bisequentiality and spaces of strictly decreasing functions on trees

Abstract

We present a characterization of spaces of strictly decreasing functions on trees in terms of bisequentiality. This characterization answers Questions 6.1 and 6.2 of [2].

Moreover we study the relation between these spaces and the classes of Corson, Eberlein and uniform Eberlein compacta. (C) 2019 Elsevier B.V. All rights reserved.

Keywords

• Bisequentiality
• Tree
• Compact space
• Corson
• Eberlein
• Uniform Eberlein