## Zvonko Iljazovic - Compact manifolds with computable boundaries

lmcs:891 - Logical Methods in Computer Science, December 11, 2013, Volume 9, Issue 4 - https://doi.org/10.2168/LMCS-9(4:19)2013
Compact manifolds with computable boundaries

Authors: Zvonko Iljazovic

We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable boundary is computable. In fact, we examine the notion of a semi-computable compact set and we prove a more general result: in any computable metric space each semi-computable compact manifold with computable boundary is computable. In particular, each semi-computable compact (boundaryless) manifold is computable.

Volume: Volume 9, Issue 4
Published on: December 11, 2013
Accepted on: June 25, 2015
Submitted on: February 12, 2013
Keywords: Computer Science - Logic in Computer Science,Mathematics - Logic