Abstract
We develop the theory of the computability structure and some notions of computable functions on a uniform topological space, and will apply the results to some real functions which are discontinuous in the Euclidean space.
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Tsujii, Y., Yasugi, M., Mori, T. (2001). Some Properties of the Effective Uniform Topological Space. In: Blanck, J., Brattka, V., Hertling, P. (eds) Computability and Complexity in Analysis. CCA 2000. Lecture Notes in Computer Science, vol 2064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45335-0_20
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DOI: https://doi.org/10.1007/3-540-45335-0_20
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