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Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

CCC posets of perfect trees

Boban Velickovic — 1991

Compositio Mathematica

A note on Tsirelson type ideals

Boban Veličković — 1999

Fundamenta Mathematicae

Using Tsirelson’s well-known example of a Banach space which does not contain a copy of $c_{0}$ or $l_{p}$ , for p ≥ 1, we construct a simple Borel ideal $I_{T}$ such that the Borel cardinalities of the quotient spaces $P (ℕ) / I_{T}$ and $P (ℕ) / I_{0}$ are incomparable, where $I_{0}$ is the summable ideal of all sets A ⊆ ℕ such that $\sum_{n \in A} 1 / (n + 1) < \infty$ . This disproves a “trichotomy” conjecture for Borel ideals proposed by Kechris and Mazur.

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