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Triangulating Topological Spaces
Herbert Edelsbrunner
Nimish R. Shah
University of Illinois at Urbana-Champaign. Department of Computer Science
出版
Department of Computer Science, University of Illinois at Urbana-Champaign
, 1994
URL
http://books.google.com.hk/books?id=M2ekLYnMCjYC&hl=&source=gbs_api
註釋
Abstract: "Given a subspace X [subset] R[superscript d] and a finite set S [subset] R[superscript d], we introduce the Delaunay simplicial complex, D[subscript x], restricted by X. Its simplices are spanned by subsets T [subset] S for which the common intersection of Voronoi cells meets X in a non-empty set. By the nerve theorem, [union] D[subscript x] and X are homotopy equivalent if all such sets are contractible. This paper shows that [union] D[subscript X] and X are homeomorphic if the sets can be further subdivided in a certain way so they form aregular CW complex."