The box topology of infinite simplicial complexes

Katsuro Sakai; Hanbiao Yang

doi:10.21099/tkbjm/1358777002

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Home > Journals > Tsukuba J. Math. > Volume 36 > Issue 2 > Article

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

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Abstract

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

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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

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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

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Tsukuba J. Math.

Vol.36 • No. 2 • December 2012

Department of Mathematics, University of Tsukuba

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Katsuro Sakai, Hanbiao Yang "The box topology of infinite simplicial complexes," Tsukuba Journal of Mathematics, Tsukuba J. Math. 36(2), 295-309, (December 2012)

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