Frederick Rowbottom

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Frederick Rowbottom (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 In Memoriam: Frederick Rowbottom, "Notices", Bulletin of Symbolic Logic 16 (2), 2010: 299, doi:10.2178/bsl/1286889129 .
  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 .
  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. ^ Review by Colin McLarty (1994), Modern Logic 4 (3): 345–348.
  7. ^ Review by Ieke Moerdijk (1995), Journal of Symbolic Logic 60 (2): 694–695.