Large cardinals and gap-1 morasses

Details Large cardinals and gap-1 morasses Large cardinals and gap-1 morasses

2008-01-12

arxiv.org/abs/0801.1912v1

Annals of Pure and Applied Logic 159, no. 1-2 (2009), pp 71-99

Mathematics

Logic

49 pages

Scientific paper

10.1016/j.apal.2008.10.007

We present a new partial order for directly forcing morasses to exist that enjoys a significant homogeneity property. We then use this forcing in a reverse Easton iteration to obtain an extension universe with morasses at every regular uncountable cardinal, while preserving all n-superstrong (0

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