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What is Large Normal Ideals and Cardinality about?

This document summarizes results from previous works on large cardinal ideals concentrating on a fixed small cardinality. It defines a game and property for filters and proves that under certain large cardinal assumptions, the second player has a winning strategy in the game. It also shows that a natural strengthening of the property is inconsistent. Finally, it references earlier related theorems and concludes that the consistency results proved justify the name of the paper.

Author

Jgfm2

Language

EN