An approximationtheorem for maps between tiling spaces

Betseygail Rand; Lorenzo Sadun

doi:10.3934/dcds.2011.29.323

Article Contents

2011, Volume 29, Issue 1: 323-326. Doi: 10.3934/dcds.2011.29.323

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An approximation theorem for maps between tiling spaces

Betseygail Rand^1, and
Lorenzo Sadun^2,

1.
Department of Mathematics, Texas Lutheran University, Seguin, TX 78155
2.
Department of Mathematics, The University of Texas at Austin, Austin, TX 78712

Received: July 31, 2009

Revised: April 30, 2010

Published: December 2010

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Abstract

We show that every continuous map from one translationally finite tiling space to another can be approximated by a local map. If two local maps are homotopic, then the homotopy can be chosen so that every interpolating map is also local.

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Mathematics Subject Classification: Primary: 52C23; Secondary: 37B05, 54H20.

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References

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