A parallel to the null ideal for inaccessible $$\lambda $$ λ : Part I

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A parallel to the null ideal for inaccessible λ: Part I

It is well known to generalize the meagre ideal replacing ℵ 0 by a (regular) cardinal λ > ℵ 0 and requiring the ideal to be λ +-complete. But can we generalize the null ideal? In terms of forcing, this means finding a forcing notion similar to the random real forcing, replacing ℵ 0 by λ, so requiring it to be (< λ)-complete. Of course, we would welcome additional properties generalizing the one...

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ژورنال

عنوان ژورنال: Archive for Mathematical Logic

سال: 2017

ISSN: 0933-5846,1432-0665

DOI: 10.1007/s00153-017-0524-0