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From sets and types to topology and analysis. Towards practicable foundations for constructive mathematics. Based on the workshop, Venice, Italy, May 12–16, 2003. (English) Zbl 1076.03003

Oxford Logic Guides 48. Oxford: Oxford University Press (ISBN 0-19-856651-4/hbk). xix, 350 p. (2005).

Show indexed articles as search result.

The articles of this volume will be reviewed individually.
Indexed articles:
Crosilla, Laura; Schuster, Peter, Introduction [to constructive mathematics]., 1-20 [Zbl 1094.03052]
Rathjen, Michael, Generalized inductive definitions in constructive set theory, 23-40 [Zbl 1095.03076]
Simpson, Alex, Constructive set theories and their category-theoretic models, 41-61 [Zbl 1095.03077]
Gambino, Nicola, Presheaf models for constructive set theories, 62-77 [Zbl 1098.03072]
Streicher, Thomas, Universes in toposes, 78-90 [Zbl 1092.03038]
Maietti, Maria Emilia; Sambin, Giovanni, Toward a minimalist foundation for constructive mathematics, 91-114 [Zbl 1115.03090]
Hancock, Peter; Setzer, Anton, Interactive programs and weakly final coalgebras in dependent type theory, 115-136 [Zbl 1102.03034]
Berger, Ulrich; Seisenberger, Monika, Applications of inductive definitions and choice principles to program synthesis, 137-148 [Zbl 1096.03068]
Negri, Sara; von Plato, Jan, The duality of classical and constructive notions and proofs, 149-161 [Zbl 1096.03073]
Palmgren, Erik, Continuity on the real line and in formal spaces, 165-175 [Zbl 1135.03348]
Aczel, Peter; Fox, Christopher, Separation properties in constructive topology, 176-192 [Zbl 1095.03073]
Bucalo, A.; Rosolini, G., Spaces as comonoids, 193-201 [Zbl 1095.03074]
Maietti, Maria Emilia, Predicative exponentiation of locally compact formaal topologies over inductively generated topologies, 202-222 [Zbl 1097.03057]
Vickers, Steven, Some constructive roads to Tychonoff, 223-238 [Zbl 1097.03058]
Coquand, Thierry; Lombardi, Henri; Roy, Marie-Françoise, An elementary characterization of Krull dimension, 239-244 [Zbl 1161.54303]
Ishihara, Hajime, Constructive reverse mathematics: compactness properties, 245-267 [Zbl 1095.03075]
Spitters, Bas, Approximating integrable sets by compacts constructively, 268-279 [Zbl 1101.03042]
Takamura, Hiroki, An introduction to the theory of \(C^*\)-algebras in constructive mathematics, 280-292 [Zbl 1098.03071]
Bridges, Douglas; Havea, Robin, Approximations to the numerical range of an element of a Banach algebra, 293-303 [Zbl 1096.03074]
Bridges, Douglas; Vîţă, Luminita, The constructive uniqueness of the locally convex topology on \(\mathbb R^N\), 304-315 [Zbl 1105.03066]
Brattka, Vasco, Computability on non-separable Banach spaces and Landau’s theorem, 316-333 [Zbl 1089.03054]

MSC:

03-06 Proceedings, conferences, collections, etc. pertaining to mathematical logic and foundations
00B25 Proceedings of conferences of miscellaneous specific interest
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