Preprints

David Fremlin

The following is an unsystematic, incomplete and erratically updated collection of notes I have written, mostly unpublished.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

  • Singular homology for amateurs, 11.11.16 (TeX, PDF, Postscript).
  • The Lebesgue density theorem in separable metric spaces, 23.9.16 (TeX, PDF, Postscript).
  • Covering with transversals and extensions of Lebesgue measure, 28.6.16 (TeX, PDF, Postscript).
  • (with J.Mala) Symmetry and measurability, 19.3.16 (TeX, PDF, Postscript).
  • Peres' 33 directions, 1.1.16 (TeX, PDF, Postscript).
  • Banach limits on ordinals, 24.12.15 (TeX, PDF, Postscript).
  • p=t, following Malliaris-Shelah and Steprans, 12.12.15 (TeX, PDF, Postscript).
  • On Prokhorov spaces, 19.9.15 (TeX, PDF, Postscript).
  • Stochastic Calculus.
  • Flat GOPS, 20.5.14 (TeX, PDF, Postscript).
  • Lectures on stochastic calculus, 30.10.12 (TeX, PDF, Postscript).
  • The Cascales-Kadets-Rodriguez selection theorem, 27.9.12 (TeX, PDF, Postscript.)
  • Products of gauge integrals, 27.7.11 (TeX (with diagram), PDF, Postscript).
  • Kirszbraun's theorem, 14.7.11 (TeX, PDF, Postscript).
  • Vector-valued gauge integrals, 12.7.11 (TeX, PDF, Postscript).
  • Topological spaces after forcing, 16.6.11 (TeX, PDF, Postscript, abridged PDF version).
  • Measurability in C(2κ) and Kunen cardinals, 31.3.11 (TeX, PDF, Postscript).
  • Well-distributed sequences and Banach density, 28.3.11 (TeX, PDF, Postscript.)
  • Maharam types of amoeba algebras, 31.1.11 (TeX, PDF, Postscript.)
  • Distributive lattices and modular functions, 13.11.10 (TeX, PDF, Postscript.)
  • Vector-valued Saks-Henstock indefinite integrals, 2.9.10 (TeX, PDF, Postscript.)
  • Measure-centering ultrafilters, 7.6.10 (TeX, PDF, Postscript.)
  • Baker's product measures, 19.3.10 (TeX, PDF, Postscript.)
  • 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.)
  • Give a penny, take a penny, 16.10.09 (TeX, PDF, Postscript.)
  • Nowhere dense filters, 2.9.09 (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.)
  • Fair rents, 10.11.08 (TeX, PDF, Postscript.)
  • The density algebra, 6.9.08 (TeX, PDF, Postscript.)
  • Talagrand's example, 3.8.08 (TeX, Postscript).
  • Linking filters, 23.7.08 (TeX, Postscript).
  • Notes on first-return integration, 10.11.07 (TeX, Postscript).
  • Splitting additive functionals, 9.10.07 (TeX, Postscript).
  • Maharam algebras, (TeX, PDF, 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).
  • 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).
  • 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.
  • 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.
  • Postscript to "Saturating ultrafilters on N", 26.7.99 (TeX, PDF, Postscript.)
  • 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.

    Back to home page.

    12.11.16