Open Access
December 2012 The box topology of infinite simplicial complexes
Katsuro Sakai, Hanbiao Yang
Tsukuba J. Math. 36(2): 295-309 (December 2012). DOI: 10.21099/tkbjm/1358777002

Abstract

In this paper, realizing an infinite simplicial complex K in the linear space RK(0) naturally, we investigate the box topology on |K| inherited from RK(0) that is finer than the metric topology and coarser than the Whitehead (weak) topology.

Citation

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Katsuro Sakai. Hanbiao Yang. "The box topology of infinite simplicial complexes." Tsukuba J. Math. 36 (2) 295 - 309, December 2012. https://doi.org/10.21099/tkbjm/1358777002

Information

Published: December 2012
First available in Project Euclid: 21 January 2013

zbMATH: 1260.57040
MathSciNet: MR3058242
Digital Object Identifier: 10.21099/tkbjm/1358777002

Subjects:
Primary: 54A10 , 54C55 , 57Q05

Keywords: absolute neighborhood extensor , simplicial complex , simplicial map , Subdivision , the box topology , the metric topology , the weak (Whitehead) topology

Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics

Vol.36 • No. 2 • December 2012
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