Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Nested products and a strongly centered filter
Masahiro Shioya
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Keywords: strongly centered filter, nested product, almost huge cardinal
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2025 Volume 77 Issue 1 Pages 221-228

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Abstract

Assume an almost huge cardinal with Mahlo target exists. We construct a model of ZFC in which a small cardinal carries a strongly centered filter by forcing with an iteration of two nested products of Levy collapses.

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