Small subdivisions of simplicial complexes with the metric topology

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概要

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• D. W. Henderson established the metric topology vertion of J. H. C. Whitehead's Theorem on small subdivisions of simplicial complexes. However, his proof is valid only for locally finite-dimensional simplicial complexes. In this note, we give a complete proof of Henderson's Theorem for arbitrary simplicial complexes.

• 2011-07-01

著者

• Sakai Katsuro

  Institute Of Mathematics University Of Tsukuba

• Sakai Katsuro

  Institute of Mathematics, University of Tsukuba

関連論文

• Hausdorff hyperspaces of R-m and their dense subspaces
• The completions of metric ANR's and homotopy dense subsets
• Hyperspaces with the Hausdorff Metric and Uniform ANR's
• Small subdivisions of simplicial complexes with the metric topology
• On topologies of triangulated infinite-dimensional manifolds
• The completions of metric ANR's and homotopy dense subsets

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