A GLUING LEMMA FOR ITERATED FUNCTION SYSTEMS-Reference-Cited by-同舟云学术

A GLUING LEMMA FOR ITERATED FUNCTION SYSTEMS

Published:2015-05-28 Issue:02 Volume:23 Page:1550019
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KAMAE TETURO¹,LUO JUN²,TAN BO³

Affiliation:

1. Advanced Mathematical Institute, Osaka City University, Osaka 558-8585, Japan

2. School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, P. R. China

3. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

Abstract

We obtain a special version of gluing lemma related to the theory of iterated function systems (IFS). As an application, we verify that a family of concrete n-dimensional self-affine tiles {Tn, r : 0 ≤ r < 3, n ≥ 3} are homeomorphic with the unit cube [0,1]n. The tiles Tn, r are "nontrivial" in the sense that each of them is neither a self-affine polytope nor the product of an interval with an (n - 1)-dimensional self-affine tile.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X1550019X

Reference20 articles.

1. Self-Affine Tiles in Rn

2. Connectedness of a class of planar self-affine tiles

3. TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS

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