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Computable Versions of Baire's Category Theorem
Vasco Brattka, in: MFCS 2001: Mathematical Foundations of
Computer Science , Lecture Notes in Computer Science 2136,
224-235, Springer, Berlin 2001
Abstract
We study different computable versions of Baire's Category Theorem
in computable analysis. Similarly, as in constructive analysis,
different logical forms of this theorem lead to different computational
interpretations. We demonstrate that, analogously to the classical theorem,
one of the computable versions of the theorem can be used to construct
interesting counterexamples, such as a computable but
nowhere differentiable function.
© 2001 Springer-Verlag Berlin
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