Solving Two Problems in General Topology Via Types

  • Adam Grabowski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3839)


In the paper we show, based on two problems in general topology (Kuratowski closure-complement and Isomichi’s classification of condensed subsets), how typed objects can be used instead of untyped text to better represent mathematical content understandable both for human and computer checker. We present mechanism of attributes and clusters reimplemented in Mizar fairly recently to fit authors’ expectations. The problem of knowledge reusability which is crucial if we develop a large unified repository of mathematical facts, is also addressed.


Topological Space General Topology Natural Topology Formal Topology Jordan Curve Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Adam Grabowski
    • 1
  1. 1.Institute of MathematicsUniversity of BiałystokBiałystokPoland

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