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Type: Article
No covering with nowhere dense {\ssf P}-sets in the Cohen model
Abstract:
We prove that if less than -many Cohen reals are added to a model of CH, then ? can not be covered by nowhere dense P-sets (equivalently, there is an ultrafilter on ? that does not contain a tower).
We prove that if less than -many Cohen reals are added to a model of CH, then ? can not be covered by nowhere dense P-sets (equivalently, there is an ultrafilter on ? that does not contain a tower).
Keywords: Nowhere dense P-sets||Ultrafilters||Towers||Cohen forcing|| Random forcing
MSC: 54A35
03E35
03E75
03E05
Journal: Topology and its Applications
ISSN: 0166-8641
Year: 2025
Volume: 375
Pages: 109569
MR Number: 4953529
Revision: 1
Notas: © 2025 Elsevier B.V. All rights are reserved,
El segundo autor recibió el apoyo de la subvención PAPIIT IA 104124 y la
subvención SECHTI CBF2023-2024-903.
Web of Science Q3 (Holanda) Scimago Q2
Created: 2026-01-09 17:32:00
Modified: 2026-01-12 11:19:24
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