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

Research output: Contribution to conferencePresentation

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 languageAmerican English
StatePublished - Mar 13 2015
EventSpring Central Sectional Meeting of the American Mathematical Society (AMS) -
Duration: Mar 13 2015 → …

Conference

ConferenceSpring Central Sectional Meeting of the American Mathematical Society (AMS)
Period03/13/15 → …

Keywords

  • Classes
  • R3
  • Self-affine tiles
  • Topological properties

DC Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

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