On thin-tall scattered spaces

Thin-tall Spaces and Cardinal Sequences

We are concerned with a series of problems regarding the existence of Hausdorff scattered spaces of a given Cantor-Bendixson height and with a given associated cardinal sequence.

Constructions of thin-tall Boolean spaces

This is an expository paper about constructions of locally compact, Hausdorff, scattered spaces whose Cantor-Bendixson height has cardinality greater than their Cantor-Bendixson width. 2000 Mathematics Subject Classification: 54A25, 54A35, 54G12,03E05, 06E15.

Scattered Spaces 3

Wide Scattered Spaces and Morasses

We show that it is relatively consistent with ZFC that 2ω is arbitrarily large and every sequence s = 〈sα : α < ω2〉 of infinite cardinals with sα ≤ 2ω is the cardinal sequence of some locally compact scattered space.

C-scattered fuzzy topological spaces

K e y w o r d s T o p o l o g y , C-scattered and scattered topological spaces. ('ompactness, Fuzzy perfect maps, S-paracompactness, S*-paracompactness. Fuzzy paracompactness. *-Fuzzy paracompactness. 1. I N T R O D U C T I O N The concept of C-sca t te red topological space has been defined by Telg{,rsky [1]. A space X is said to be C-sca t te red if each of its nonempty closed subspaces conta...