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Centro de Ciencias Matemáticas UNAM

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The bounded topology

Abstract:

We introduce a topology on ideals stronger than the usual metric topology as a means for coarse classification of ideals. We study its properties and relation to the combinatorial properties of the ideals. This topology generalizes the submeasure topology on analytic P-ideals introduced by S. Solecki. We give a partial answer to a conjecture of A. Louveau and B. Veli?kovi?.
Keywords: Mathematical logic and foundations||Set Theory||Other Combinatorial Set Theory
MSC: 03E05 (54A10 54D55)
Journal: Topology and its Applications
ISSN: 1879-3207
Year: 2026
Volume: 379
Pages: Paper No. 109517
MR Number: 5015038
Revision: 1
Notas: SCImago: Q2 Países Bajos, Elsevier CC By 4.0 El primer autor agradece el apoyo de CONACyT, beca CBF2023-2024-2028. El segundo autor agradece el apoyo de CONACyT, beca A1-S-16164 y beca PAPIIT IN 101323. La investigación del tercer autor ha sido apoyada por CONACyT, beca 815237.
Created Created: 2026-03-11 10:38:28
Modified Modified: 2026-03-11 10:43:59
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