[書籍][B] Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

I Farah - 2000 - books.google.com
Subscription information. The 2000 subscription begins with volume 143 and consists of six
mailings, each containing one or more numbers. Subscription prices for 2000 are $466 list …

[書籍][B] Combinatorial set theory of C*-algebras

I Farah - 2019 - Springer
This book is shorter than In Search of Lost Time, is easier to read than Principia
Mathematica, and has more mathematical content than War and Peace. 1, 2 It provides an …

A survey on topological properties of P(K) spaces

G Plebanek - Japanese Journal of Mathematics, 2024 - Springer
Given a compact space K, we denote by P (K) the space of all Radon probability measures
on K, equipped with the weak* topology inherited from C (K)*. For nonmetrizable compacta …

The Calkin algebra is ℵ1-universal

I Farah, I Hirshberg, A Vignati - Israel Journal of Mathematics, 2020 - Springer
We discuss the existence of (injectively) universal C*-algebras and prove that all C*-
algebras of density character ℵ 1 embed into the Calkin algebra, Q (H). Together with other …

A non-trivial copy of βN\N

A Dow - Proc. Amer. Math. Soc, 2014 - ams.org
A non-trivial copy of 𝛽ℕ∖ℕ Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 142, Number 8, August 2014, Pages 2907–2913 S 0002-9939(2014)11985-X …

Embedding C*-Algebras Into the Calkin Algebra

I Farah, G Katsimpas, A Vaccaro - International Mathematics …, 2021 - academic.oup.com
We prove that, under Martin's axiom, every-algebra of density character less than continuum
embeds into the Calkin algebra. Furthermore, we show that it is consistent with Zermelo …

Luzin gaps

I Farah - Transactions of the American Mathematical Society, 2004 - ams.org
We isolate a class of $ F_ {\sigma\delta} $ ideals on $\mathbb {N} $ that includes all analytic
P-ideals and all $ F_\sigma $ ideals, and introduce 'Luzin gaps' in their quotients. A …

Forcing axioms and coronas of -algebras

P McKenney, A Vignati - Journal of Mathematical Logic, 2021 - World Scientific
We prove rigidity results for large classes of corona algebras, assuming the Proper Forcing
Axiom. In particular, we prove that a conjecture of Coskey and Farah holds for all separable …

What makes the continuum ℵ2

JT Moore - Foundations of Mathematics, 2017 - books.google.com
6. A Ramsey-theoretic proof that the continuum is ℵ2 7. Forcing axioms and generic
absoluteness 8. Stationary set reflection and 2ℵ0≤ ℵ2 9. The Conjectures of Chang and …

Biba's trick

I Farah - arxiv preprint arxiv:2412.09716, 2024 - arxiv.org
arxiv:2412.09716v1 [math.LO] 12 Dec 2024 Page 1 arxiv:2412.09716v1 [math.LO] 12 Dec
2024 BIBA’S TRICK, WITH APPLICATIONS ILIJAS FARAH Abstract. We give another bit of …