Many weak P-sets

Authors
Publication date 01-01-2023
Journal Topology and its Applications
Article number 108285
Volume | Issue number 323
Number of pages 16
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract It is known that for each continuous image of N, there is a nowhere dense weak P-set of N that maps irreducibly onto it. We generalize this for every compact space of weight at most c. This allows us to show that there is a weak P-set in N which is homeomorphic to N. This generalizes a result of the first-named author and answers a problem posed before 1990.
Document type Article
Language English
Published at https://doi.org/10.1016/j.topol.2022.108285
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