6533b7d8fe1ef96bd126a20d

RESEARCH PRODUCT

Homeomorphisms of the Sierpinski curve with periodic properties

Ezzeddine SalhiGioia M. VagoAbdelrazak Jmel

subject

PointwiseMathematics::Group Theorysymbols.namesakeGeneral MathematicsMathematical analysissymbolsMathematics::General TopologySierpiński curveComputer Science ApplicationsMathematics

description

In this paper, we study the three following types of homeomorphisms of the Sierpinski curve of the two sphere : pointwise periodic, periodic, and almost periodic, and we prove that they are equivalent. We show that a subgroup of homeomorphisms whose orbits are all finite, is a finite subgroup.

https://doi.org/10.1080/14689367.2013.780332