Formal Baire space in constructive set theory Giovanni Curi and Michael Rathjen∗ Dipartimento di Matematica, Universit`a di Padova Via Trieste, Padova, Italy (G. Curi). Department of Pure M

Source URL: www1.maths.leeds.ac.uk

CONSISTENCY OF A STRONG UNIFORMIZATION PRINCIPLE PAUL LARSON AND SAHARON SHELAH Abstract. We prove the consistency of a strong uniformization principle for a subset of the Baire space of cardinality ℵ1 . As a consequen

Source URL: www.users.miamioh.edu

Problem 50 (Banach). Prove that the integral of Denjoy is not a Baire functional in the space S (that is to say, in the space of measurable functions). Commentary The formulation of this problem is rather vague. However

Source URL: www.math.caltech.edu

Computable Real Analysis without Set Theory or Turing Machines Paul Taylor Department of Computer Science University of Manchester UK EPSRC GR/S58522

Source URL: www.paultaylor.eu

• Theory of computation
• Mathematical logic
• General topology
• Functional analysis
• Computable number
• Computable function
• Continuous function
• Baire space
• Topological space
• Computability theory
• Mathematics
• Topology

Topics in Analysis Examples Sheet 4 W. T. G. 1. (i) For each n let Fn be the nth Fibonacci number, with F1 = F2 = 1. Prove the 2

Source URL: www.dpmms.cam.ac.uk

• Hausdorff space
• Uniform space
• Baire space
• Continuous function
• Subspace topology
• Finite topological space
• Metric space
• Homeomorphism
• Compact space
• Topology
• General topology
• Topological spaces

Polish spaces and Baire spaces Jordan Bell Department of Mathematics, University of Toronto June 27, 2014

Source URL: individual.utoronto.ca

• Gδ set
• Metrization theorem
• Topological property
• Polish space
• Complete metric space
• Metric space
• Separable space
• Second-countable space
• Baire category theorem
• Topology
• General topology
• Baire space

Continuity in type theory Mart´ın H¨ otzel Escard´ o University of Birmingham, UK

Source URL: www.cs.bham.ac.uk

• General topology
• Topos
• Baire space
• Continuous function
• Space
• Ordinal number
• Cantor space
• Grothendieck topology
• Constructible universe
• Topology
• Mathematics
• Sheaf theory

Real Analysis Exchange Summer Symposium 2009, pp. 6–13 Udayan B. Darji, Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, U.S.A. email: [removed]

Source URL: www.stolaf.edu

• Mathematical analysis
• Descriptive set theory
• Functional analysis
• Meagre set
• Semi-continuity
• Metric space
• Continuous function
• Baire category theorem
• Compact space
• Topology
• Mathematics
• General topology

Towards a New Science of Big Data Analytics, based on the Geometry and Topology of Complex, Hierarchic Systems [removed]

Source URL: www.egc.asso.fr

• Metric geometry
• General topology
• Topological spaces
• Mathematical structures
• Ultrametric space
• Hierarchical clustering
• Baire space
• Metric
• P-adic number
• Mathematics
• Topology
• Geometry

The Baire Category Theorem BJG May 2009 The theorem. The Baire Category theorem is a very innocent-looking statement which is, furthermore, not too hard to prove. It can, however, be used to obtain some

Source URL: people.maths.ox.ac.uk

• General topology
• Functional analysis
• Differential calculus
• Functions and mappings
• Continuous function
• Baire space
• Metric space
• Meagre set
• Differentiable function
• Mathematical analysis
• Mathematics
• Topology