Topological Properties of a Class of Self-Affine Tiles in R3

Sze-Man Ngai

Topological Properties of a Class of Self-Affine Tiles in R₃

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<p> We construct a class of connected self-a&ffilig;ne tiles in R3 and prove that it contains a subclass of tiles that are homeomorphic to the unit ball. Our construction is obtained by generalizing a two-dimensional one by Q. Deng and K.-S. Lau.</p>

Original language	American English
State	Published - Mar 13 2015
Event	Spring Central Sectional Meeting of the American Mathematical Society (AMS) - Duration: Mar 13 2015 → …

Conference

Conference	Spring Central Sectional Meeting of the American Mathematical Society (AMS)
Period	03/13/15 → …

Disciplines

Mathematics
Physical Sciences and Mathematics

Keywords

Classes
R3
Self-affine tiles
Topological properties

Access to Document

http://Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Cite this

@conference{f496eae93ccb4d9dbb9f32257d4bc19a,

title = "Topological Properties of a Class of Self-Affine Tiles in R3",

abstract = " We construct a class of connected self-a\&ffilig;ne tiles in R3 and prove that it contains a subclass of tiles that are homeomorphic to the unit ball. Our construction is obtained by generalizing a two-dimensional one by Q. Deng and K.-S. Lau.",

keywords = "Classes, R3, Self-affine tiles, Topological properties",

author = "Sze-Man Ngai",

year = "2015",

month = mar,

day = "13",

language = "American English",

note = "Spring Central Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 13-03-2015",

}

TY - CONF

T1 - Topological Properties of a Class of Self-Affine Tiles in R3

AU - Ngai, Sze-Man

PY - 2015/3/13

Y1 - 2015/3/13

N2 - We construct a class of connected self-a&ffilig;ne tiles in R3 and prove that it contains a subclass of tiles that are homeomorphic to the unit ball. Our construction is obtained by generalizing a two-dimensional one by Q. Deng and K.-S. Lau.

AB - We construct a class of connected self-a&ffilig;ne tiles in R3 and prove that it contains a subclass of tiles that are homeomorphic to the unit ball. Our construction is obtained by generalizing a two-dimensional one by Q. Deng and K.-S. Lau.

KW - Classes

KW - R3

KW - Self-affine tiles

KW - Topological properties

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/10

UR - http://Spring Central Sectional Meeting of the American Mathematical Society (AMS)

M3 - Presentation

T2 - Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 13 March 2015

ER -