A topological application of flat morasses

Volume 194 / 2007

R. W. Knight Fundamenta Mathematicae 194 (2007), 45-66 MSC: Primary 03E35, 54D20; Secondary 03E65, 03E45. DOI: 10.4064/fm194-1-3

Abstract

We define combinatorial structures which we refer to as flat morasses, and use them to construct a Lindelöf space with points $G_\delta$ of cardinality $\aleph_\omega$, consistent with GCH. The construction reveals, it is hoped, that flat morasses are a tool worth adding to the kit of any user of set theory.

Authors

  • R. W. KnightMathematical Institute
    24–29 St Giles, Oxford, UK
    e-mail

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