  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 "A filter on a collection of finite sets and Eberlein compacta" by
T. Cie\'sla. Moreover we study the relation between these spaces and the
classes of Corson, Eberlein and uniform Eberlein compacta.
