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Frederick Rowbottom (16 January 1938 – 12 October 2009) was a "British "logician and "mathematician. The "large cardinal notion of "Rowbottom cardinals is named after him.

Biography[edit]

After graduating from "Cambridge University, Rowbottom studied under "Howard Jerome Keisler at the "University of Wisconsin–Madison, earning his "Ph.D. degree in 1964, with a thesis entitled Large Cardinals and Small Constructible Sets, under the supervision of "Jerome Keisler.[1] With a recommendation from "Georg Kreisel, he took a position at the "University of Bristol in 1965, where he spent the rest of his professional career.

He published a paper called "Some strong axioms of infinity incompatible with the axiom of constructibility" in the Annals of Mathematical Logic, 3 1971. This paper, together with his thesis, "showed that Ramsey cardinals were weaker than measurable cardinals, and that their existence implied the constructible real continuum was countable; he further proved that this followed also from weaker partition and two cardinal properties."[2] The "large cardinal notion of "Rowbottom cardinals is named after him,[3] as is the notion of a Rowbottom "ultrafilter.[4]

"Keith Devlin studied "set theory under Rowbottom. In 1992 he and a student, Jonathan Chapman, wrote a textbook on "topos theory, Relative Category Theory and Geometric Morphisms: A Logical Approach, published in Oxford Logic Guides, No. 16.[5][6][7] Rowbottom retired in 1993 at the age of 55.

Rowbottom died of heart failure in "Hadfield, England, on 12 October 2009, aged 71.[2]

References[edit]

  1. ^ Frederick Rowbottom at the "Mathematics Genealogy Project.
  2. ^ a b "Notices", Bulletin of Symbolic Logic, 16 (2): 299, 2010, "doi:10.2178/bsl/1286889129  |contribution= ignored ("help).
  3. ^ Tryba, Jan (1981), "A few remarks on Rowbottom cardinals", Israel Journal of Mathematics, 40 (3–4): 193–196, "doi:10.1007/BF02761361 .
  4. ^ Feng, Qi (1987), "On the Rowbottom M-ultrafilters", Journal of Symbolic Logic, 52 (4): 990–993, "JSTOR 2273832, "doi:10.2307/2273832 .
  5. ^ Rowbottom, Frederick and Jonathan Chapman. Relative Category Theory and Geometric Morphisms: A Logical Approach, published in Oxford Logic Guides, Oxford University Press, 1992, "ISBN "978-0-19-853434-1
  6. ^ McLarty, Colin (1994). "Review". Modern Logic. 4 (3): 345–348. 
  7. ^ "Moerdijk, Ieke (1995). "Review". Journal of Symbolic Logic. 60 (2): 694–695. "doi:10.2307/2275864. 
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