Eprints of Rényi Institute

Wide scattered spaces and morasses

Soukup, Lajos (2010) Wide scattered spaces and morasses. Topology and its Applications . (In Press)

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We show that it is relatively consistent with ZFC that 2^\omega is arbitrarily large and every sequence \langle s_{\alpha}:{\alpha}<{\omega}_2\rangle of infinite cardinals with s_{\alpha}\le 2^\omega is the cardinal sequence of some locally compact scattered space.

Item Type:Article
Keywords and phrases:Boolean algebra, superatomic, cardinal sequence, consistency result, locally compact scattered space
Subjects:54G12 Scattered spaces
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
06E05 Structure theory
03E20 Other classical set theory (including functions, relations, and set algebra)
Divisions:Research Divisions > Set theory and general topology
Last Modified:13 Jan 2011 15:44

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