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Lecture Notes in Computer Science
In this paper we consider the problem of decomposing a nonmanifold n-dimensional object described by an abstract simplicial complex into an assembly of 'more-regular' components. Manifolds, which would be natural candidates for components, cannot be used to this aim in high dimensions because they are not decidable sets. Therefore, we define d-quasi-manifolds, a decidable superset of the class of combinatorial d-manifolds that coincides with d-manifolds in dimension less or equal than two. Wedoi:10.1007/3-540-45986-3_6 fatcat:nby5mtrdlnch3cezenmf72cnji