%0 Journal Article %T Co-c.e. spheres and cells in computable metric spaces %A Zvonko Iljazovic %J Mathematics %D 2011 %I arXiv %R 10.2168/LMCS-7(3:5)2011 %X 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. %U http://arxiv.org/abs/1106.2769v2