Disk-like self-affine tiles in R2

被引：68

作者：

Bandt, C ^{[1
]}

Wang, Y

机构：

[1] Ernst Moritz Arndt Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

关键词：

D O I：

10.1007/s00454-001-0034-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give simple necessary and sufficient conditions for self-affine tiles in R-2 to be homeomorphic to a disk.

引用

页码：591 / 601

页数：11

共 22 条

[1] SELF-SIMILAR SETS .2. A SIMPLE APPROACH TO THE TOPOLOGICAL-STRUCTURE OF FRACTALS
BANDT, C
KELLER, K
[J]. MATHEMATISCHE NACHRICHTEN, 1991, 154 : 27 - 39
[2] Bandt C, 1997, NATO ADV SCI I C-MAT, V489, P45
[3] CLASSIFICATION OF SELF-AFFINE LATTICE TILINGS
BANDT, C
GELBRITCH, G
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1994, 50 : 581 - 593
[4] SELF-SIMILAR SETS .5. INTEGER MATRICES AND FRACTAL TILINGS OF RN
BANDT, C
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (02) : 549 - 562
[5] DUVALL P, IN PRESS J LONDON MA
[6] Edgar G.A, 1990, Measure, Topology, and Fractal Geometry
[7] CRYSTALLOGRAPHIC REPTILES
GELBRICH, G
[J]. GEOMETRIAE DEDICATA, 1994, 51 (03) : 235 - 256
[8] Grochenig K., 1994, J FOURIER ANAL APPL, V1, P131, DOI DOI 10.1007/S00041-001-4007-6
[9] Hurewicz W., 1948, DIMENSION THEORY
[10] Kenyon R, 1999, INDIANA U MATH J, V48, P25