TOPOLOGICAL PROPERTIES OF A CLASS OF SELF-AFFINE TILES IN R-3

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成果类型：

期刊论文

作者：

Deng, Guotai*;Liu, Chuntai;Ngai, Sze-Man

通讯作者：

Deng, Guotai

作者机构：

[Deng, Guotai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

[Deng, Guotai] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.

[Liu, Chuntai] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Hubei, Peoples R China.

[Ngai, Sze-Man] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.

[Ngai, Sze-Man] Georgia Southern Univ, Dept Math Sci, Statesboro, GA 30460 USA.

通讯机构：

[Deng, Guotai] C

Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.

语种：

英文

关键词：

Self-affine tile;connectedness;ball-like tiles

期刊：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

ISSN：

0002-9947

年：

2018

卷：

370

期：

页码：

1321-1350

DOI：

10.1090/tran/7055

基金类别：

China Scholarship CouncilChina Scholarship Council; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11601403, 11271122]; Hunan Province Hundred Talents Program; Georgia Southern University

机构署名：

本校为其他机构

院系归属：

数学与计算机学院

摘要：

We construct a class of connected self-affine tiles in R3 and prove that it contains a subclass of tiles that are homeomorphic to a unit ball in R3. Our construction is obtained by generalizing a two-dimensional one by Deng and Lau. The proof of ball-likeness is inspired by the construction of a homeomorphism from Alexander’s horned ball to a 3-ball....

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