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July, 2011 Small subdivisions of simplicial complexes with the metric topology
Katsuro SAKAI
J. Math. Soc. Japan 63(3): 789-800 (July, 2011). DOI: 10.2969/jmsj/06330789

Abstract

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.

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Katsuro SAKAI. "Small subdivisions of simplicial complexes with the metric topology." J. Math. Soc. Japan 63 (3) 789 - 800, July, 2011. https://doi.org/10.2969/jmsj/06330789

Information

Published: July, 2011
First available in Project Euclid: 1 August 2011

zbMATH: 1229.57026
MathSciNet: MR2836743
Digital Object Identifier: 10.2969/jmsj/06330789

Subjects:
Primary: 57Q05
Secondary: 54E35 , 55U10

Keywords: admissible subdivision , simplicial complex , the metric topology

Rights: Copyright © 2011 Mathematical Society of Japan

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Vol.63 • No. 3 • July, 2011
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