Analytic Quotients: Theory of Liftings for Quotients over Analytic Ideals on the Integers

By Ilijas Farah. 2000

316 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fbefec958439e4050ccca294b9d7512a25a56b4a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Justin Tatch Moore
2. Andrzej Komisarski
3. Ilijas Farah
4. Marion Scheepers
5. Franklin D. Tall

In Geometry and Topology

1. Ilijas Farah
2. Justin Tatch Moore
3. Andrzej Komisarski
4. Franklin D. Tall
5. Andrés Navas
6. Marion Scheepers

Citations in the corpus

• Statistical convergence and ideal convergence for sequences of functions (2007, background): “[15]). Of course, Id is admissible; for many other examples see [15] and [ 6 ].”
• A five element basis for the uncountable linear orders (2005, background): “Frequently — as in Baumgartner’s result above — this axiom can be used to find morphisms between certain structures or to make other combinatorial reductions (see [1], [3], [7], [24], [25], [27]).”
• ALL AUTOMORPHISMS OF THE CALKIN ALGEBRA ARE INNER (2007, background): “f S.Ulam, the approximate *-homomorphismsare stable (see e.g., [23]). Connection between lifting theorems and Ulam-stability of approximate homomorphisms between Boolean algebra was first exploited in [13]. Analogous results for groups appear in [14] and [23]. The following a special case of a well-k”