Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Mitchell's theorem on the approachability ideal states that it is consistent relative to a greatly Mahlo cardinal that there is no stationary subset of   ω 2 ∩cof(ω 1 )       ω    2    ∩   cof   (    ω    1    )        in the approachability ideal   I[ω 2 ]     I  [    ω    2    ]       .   give a new proof of Mitchell's theorem, deriving it from an abstract framework of side condition methods.
['Thomas Gilton', 'John Krueger']
I am writing a research paper on a idea Mitchell's Theorem Revisited
[{"from": "human", "value": "I am writing a research paper on a idea Mitchell's Theorem Revisited"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Mitchell's theorem on the approachability ideal states that it is consistent relative to a greatly Mahlo cardinal that there is no stationary subset of   \u03c9 2 \u2229cof(\u03c9 1 )       \u03c9    2    \u2229   cof   (    \u03c9    1    )        in the approachability ideal   I[\u03c9 2 ]     I  [    \u03c9    2    ]       .   give a new proof of Mitchell's theorem, deriving it from an abstract framework of side condition methods."}]