Lindelöf spaces with small pseudocharacter and an analog of Borel's conjecture for subsets of [0; 1]@1

Franklin D. Tall, Toshimichi Usuba

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Abstract

e improve results of Shelah, Tall, and Scheepers concerning the cardinality of Lindelöf spaces with small pseudocharacter. We establish the consistency of an analog of Borel's Conjecture for subspaces of [0; 1]@1 .

Original languageEnglish
Pages (from-to)1299-1309
Number of pages11
JournalHouston Journal of Mathematics
Volume40
Issue number4
Publication statusPublished - 2014
Externally publishedYes

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Keywords

  • Generalized Borel Conjecture
  • Lindelöf indestructibility
  • Lindelöf spaces with small pseudocharacter

ASJC Scopus subject areas

  • Mathematics(all)

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