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arxiv: 0806.4760 · v1 · pith:5OIFZB7Snew · submitted 2008-06-29 · 🧮 math.LO

Reasonable non--Radon--Nikodym ideals

classification 🧮 math.LO
keywords homomorphismabelianborelcontinuousexistgroupidealsnon--radon--nikodym
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For any abelian Polish sigma-compact group H there exist a sigma-ideal Z over N and a Borel Z-approximate homomorphism f : H --> H^N which is not Z-approximable by a continuous true homomorphism g : H --> H^N.

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