Preprints

David Fremlin

The following is an unsystematic, incomplete and erratically updated collection of PostScript files of notes I have written, mostly unpublished. For a further series of notes on specific problems see problems.

  • Linked sets in probability algebras, 9.12.09 (TeX, PDF, Postscript.)
  • Four problems in measure theory, 29.11.09 (TeX, PDF, Postscript.)
  • On results of M.Elekes and G.Gruenhage, 26.11.09 (TeX, PDF, Postscript.)
  • Measure-centering ultrafilters, 24.11.09 (TeX, Postscript.)
  • Give a penny, take a penny, 16.10.09 (TeX, PDF, Postscript.)
  • Nowhere dense filters, 2.9.09 (TeX, PDF, Postscript.)
  • Well-distributed sequences and Banach density, 22.3.09 (TeX, PDF, Postscript.)
  • Dependently selective filters, 5.2.09 (TeX, PDF, Postscript.)
  • Invertive extensions, 30.12.08 (TeX, PDF, Postscript.)
  • Ergodic averages, following Austin, 26.11.08 (TeX, PDF, Postscript.)
  • The density algebra, 6.9.08 (TeX, Postscript).
  • Talagrand's example, 3.8.08 (TeX, Postscript).
  • Linking filters, 23.7.08 (TeX, Postscript).
  • Products of gauge integrals, 6.1.08 (TeX, Postscript).
  • Notes on first-return integration, 10.11.07 (TeX, Postscript).
  • Splitting additive functionals, 9.10.07 (TeX, Postscript).
  • Filters of countable type, 25.9.07 (TeX, Postscript).
  • The McShane and Birkhoff integrals of vector-valued functions, 18.5.07. (TeX, Postscript).
  • m, p and t, following Shelah 885, 24.4.07 (TeX, Postscript).
  • Sums of measures, 11.12.06 (TeX, Postscript).
  • Tube outer measure, 3.12.06 (TeX, Postscript).
  • Alternating functionals, 15.11.06 (TeX, Postscript).
  • Maharam algebras, 22.10.06 (TeX, Postscript).
  • Tao's proof of Szemeredi's theorem, 29.9.06 (TeX, Postscript).
  • Tao's removal lemma, 14.7.06 (TeX, Postscript).
  • Random hypergraphs, 27.6.06 (TeX, Postscript).
  • Random equivalence relations, 6.5.06 (TeX, Postscript).
  • Squares in locally compact groups, 1.12.05 (TeX, Postscript.)
  • Hausdorff measures, 30.11.05 (TeX, Postscript).
  • Topological spaces after forcing, 7.11.05 (TeX, Postscript, abridged Postscript version.)
  • Extension-measurable families of sets, 6.11.05 (TeX, Postscript.)
  • (with M.R.Burke) Cardinal functions of density topologies, 21.9.05 [under construction] (TeX, Postscript.)
  • Baire s-algebras in product spaces, 6.9.05 (TeX, Postscript.)
  • A protocol for machine-based voting, 29.7.05 (TeX, Postscript.)
  • On the zeroes of p and p', 29.7.05 (TeX, Postscript.)
  • Strictly localizable Borel measures, 7.5.05 (TeX, Postscript.)
  • (with D.Preiss) On a problem of W.Ricker, 20.4.05 (TeX, Postscript).
  • Homogeneous measure spaces, 13.4.05 (TeX, Postscript).
  • Extensions of Talagrand's measure, 8.3.05 (TeX, Postscript).
  • A strictly positive Borel measure, 7.3.05 (TeX, Postscript).
  • Lipschitz quotient maps, 9.2.05.
  • On a construction of Gitik & Shelah, 16.1.05.
  • Compact sets without convergent sequences in random real models (with A.Dow), 18.10.04.
  • Dependent multiple choice and Baire's theorem (following Fossy & Morillon), 8.10.04.
  • Postscript to "Consequences of Martin's Axiom", 18.7.04.
  • Poly-linked Boolean algebras, 10.7.04.
  • Partitions of [0,1] into negligible sets (with S.Todorcevic), 26.6.04.
  • Independence-precalibers of measure algebras (with G.Plebanek), 27.4.04.
  • Freese-Nation numbers of finite partially ordered sets (with D.B.Penman), 20.4.04.
  • Radon measures (notes of lectures at Doksy, Czech Rep., Feb. 2004), 21.3.04.
  • Sequences with small difference sets (with M.Laczkovich), 21.3.04.
  • Covering R by translates, 12.2.04.
  • Fair rents, 6.11.03.
  • Steffen's Flexihedron, 29.6.03.
  • Freese-Nation numbers, 26.6.03.
  • A singular Borel equivalence relation, 27.4.03.
  • SSP and wQN, 14.1.03.
  • Compact sets of semi-continuous functions, 19.11.02.
  • The generalized Banach contraction theorem, 16.11.02.
  • Notes on Farah's "Analytic Quotients", 16.11.02.
  • Games and the Tukey classification, 4.10.02.
  • On a construction of Steprans, 7.9.02.
  • On a question of Natkaniec, 14.5.01.
  • Supplement to "Real-valued-measurable cardinals", 22.5.00.
  • Invariant measures on metric spaces, 3.5.00.
  • Universally Kuratowski-Ulam spaces, 11.2.00.
  • Supplement to "Weakly alpha-favourable measure spaces", 18.1.00.
  • A theorem of Gitik and Shelah on disjoint refinements of sequences of subsets of the real line, 4.4.97.
  • Supplement to `Sequential convergence in Cp(X)', 24.8.92. (TeX, PDF, Postscript.)
  • Notes on the Control Measure Problem (with J.Kupka), 14.5.90.
  • Comparing σ-ideals, 7.5.86.
  • Families of random triples, 16.12.88.
  • Cech-analytic spaces, 10.2.81.

    Referring to these papers

    All the material on this page is copyleft; you may use it in any way you wish (copy, rewrite, print, sell) subject to two provisos: (i) acknowledging your debt, if any, to my version (ii) your own version being copyleft. If you wish to refer to it in the ordinary way, however, you should be aware that this is more like a building site than a library, and I suggest that you copy the material you are using onto your own website, in the hope that readers will be less confused by changes.

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    9.12.09