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From Sets and Types to Topology and Analysis


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Table of Contents

Introduction Douglas Bridges: Errett Bishop 1: Michael Rathjen: Generalized Inductive Definitions in Constructive Set Theory 2: Alex Simpson: Constructive Set Theories and their Category-theoretic Models 3: Nicola Gambino: Presheaf models for Constructive Set Theories 4: Thomas Streicher: Universes in Toposes 5: Maria Emilia Maietti & Giovanni Sambin: Toward a minimalistic foundation for constructive mathematics 6: Peter Hancock & Anton Setzer: Interactive Programs and Weakly Final Coalgebras in Dependent Type Theory 7: Ulrich Berger and Monika Seisenberger: Applications of inductive definitions and choice principles to program synthesis 8: Sara Negri and Jan von Plato: The duality of lcassical and constructive notions and proofs 9: Erik Palmgren: Continuity on the real line and in formal spaces 10: Peter Aczel & Christopher Fox: Separation Properties in Constructive Topology 11: A. Bucalo & G. Rosolini: Spaces as comonoids 12: Maria Emilia Maietti: Predicative exponentiation of locally compact formal topologies over inductively generated ones 13: Stephen Vickers: Some constructive roads to Tychonoff 14: Thierry Coquand, Henri Lombardi & Marie-Francoise Roy: An elementary characterisation of Krull dimension 15: Hajime Ishihara: Constructive reverse mathematics: compactness properties 16: Bas Spitters: Approximating integrable sets by compacts constructively 17: Hiroki Takamura: An introduction to the theory of c*-algegras in constructive mathematics 18: Douglas Bridges & Robin Havea: Approximations to the numerical range of an element of a Banach algebra 19: Douglas Bridges & Luminita Vita: The constructive uniqueness of the locally convex topology on rn 20: Vasco Brattka: Computability on Non-Separable Banach Spaces and Landau's Theorem



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