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

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

2011-06-14

arxiv.org/abs/1106.2769v2

LMCS 7 (3:5) 2011

Computer Science

Logic in Computer Science

Scientific paper

10.2168/LMCS-7(3:5)2011

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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