Department Mathematik
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Inhaltsbereich

Research


  • Constructive Topology: especially development of the theory of Bishop spaces, a function-theoretic approach to general topology within BISH*, where BISH* is Bishop's informal system of constructive mathematics BISH equipped with inductive definitions with rules of countably many premisses.
  • Constructive Analysis.
  • Constructive Lipschitz Analysis: study of the role of Lipschitz functions in constructive analysis and of the extension theorems of Lipschitz functions (McShane-Whitney extension theorem, Kirszbraun theorem) within BISH.
  • Constructive Combinatorics.
  • Constructive Computability Theory at Higher Types.
  • Brouwer's Intuitionism.
  • Euclidean and Non-Euclidean Geometries.
  • Homotopy Type Theory.
  • Formalization of mathematics using the proof-assistant Minlog.

Last modified: 30.06.2017