منابع مشابه
Tall , Strong , and Strongly Compact Cardinals ∗ † Arthur
We construct three models in which there are different relationships among the classes of strongly compact, strong, and non-strong tall cardinals. In the first two of these models, the strongly compact and strong cardinals coincide precisely, and every strongly compact/strong cardinal is a limit of non-strong tall cardinals. In the remaining model, the strongly compact cardinals are precisely c...
متن کاملLevel by Level Inequivalence , Strong Compactness , and GCH ∗ † Arthur
We construct three models containing exactly one supercompact cardinal in which level by level inequivalence between strong compactness and supercompactness holds. In the first two models, below the supercompact cardinal κ, there is a non-supercompact strongly compact cardinal. In the last model, any suitably defined ground model Easton function is realized.
متن کاملArthur Ferguson MacCallan CBE, MD, FRCS (1872–1955), trachoma pioneer and the ophthalmic campaign in Egypt 1903–1923
Arthur Ferguson MacCallan was an ophthalmic surgeon who undertook his pioneering work in Egypt between 1903 and 1923. He established the Egyptian ophthalmic infrastructure which, on his departure, consisted of 23 operational hospital units, treating 134,000 new patients, having trained some 100 ophthalmic surgeons. He also established the Memorial Ophthalmic Laboratory at Giza which is still op...
متن کامل“ On the Strong Equality between Supercompactness and Strong Compactness ” by Arthur
We show that supercompactness and strong compactness can be equivalent even as properties of pairs of regular cardinals. Specifically, we show that if V |= ZFC + GCH is a given model (which in interesting cases contains instances of supercompactness), then there is some cardinal and cofinality preserving generic extension V [G] |= ZFC + GCH in which, (a) (preservation) for κ ≤ λ regular, if V |...
متن کاملManuscript Manager™, CBE Style
"SMELL THE ROSES" (upper-case letters are the program's). The program thought I didn't smell the roses because I was leading too hectic a life. Although busy, I do nonetheless take time for such things, but I answered "No" to that question because of rather severe allergies! Nevertheless, as a patient who had just spent a considerable amount of time entering the data, I was pleased the program ...
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ژورنال
عنوان ژورنال: Nature
سال: 1943
ISSN: 0028-0836,1476-4687
DOI: 10.1038/152441a0