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arXiv · 1106.2769

Co-c.e. spheres and cells in computable metric spaces

Zvonko Iljazovic
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Abstract

We investigate conditions under which a co-computably enumerable set in a computable metric space is computable. Using higher-dimensional chains and spherical chains we prove that in each computable metric space which is locally computable each co-computably enumerable sphere is computable and each co-c.e. cell with co-c.e. boundary sphere is computable.

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Zvonko Iljazovic. 2011-08-23. Co-c.e. spheres and cells in computable metric spaces. https://doi.org/10.2168/lmcs-7(3%3A5)2011

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