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The Lifting Problem with the Full Ideal

  • S. Shelah

Abstract

We show that there are a cardinal μ, a σ-ideal IP(μ) and a σ-subalgebra B of subsets of μ extending I such that B/I satisfies the c.c.c. but the quotient algebra B/I has no lifting.

Key words and phrases.: Measure algebras; Boolean algebras; lifting
Received: 1997-06-30
Revised: 1997-12-23
Published Online: 2010-06-04
Published in Print: 1998-June

© Heldermann Verlag

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