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

Zvonko Iljazovic

doi:10.2168/LMCS-7(3:5)2011

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

lmcs:885 - Logical Methods in Computer Science, August 25, 2011, Volume 7, Issue 3 - https://doi.org/10.2168/LMCS-7(3:5)2011

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

Authors: Zvonko Iljazovic

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.

https://doi.org/10.2168/LMCS-7(3:5)2011

Source: arXiv.org:1106.2769

Volume: Volume 7, Issue 3

Secondary volumes: Selected Papers of the 7th Conference on Computability and Complexity in Analysis (CCA 2010)

Published on: August 25, 2011

Imported on: November 30, 2010

Keywords: Computer Science - Logic in Computer Science, Mathematics - Logic, math.LO

Licence: arXiv.org - Non-exclusive license to distribute

Funding:

Source : OpenAIRE Graph