On the fundamental group of the Sierpiński-gasket

DOI10.1016/j.topol.2009.01.012zbMath1182.57001OpenAlexW2095253972MaRDI QIDQ1019143

Shigeki Akiyama, Jörg M. Thuswaldner, Gerhard Dorfer, Reinhard Winkler

Publication date: 28 May 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.01.012

zbMATH Keywords

fundamental groupfractalSierpiński-gasket

Mathematics Subject Classification ID

Fractals (28A80) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Fundamental group, presentations, free differential calculus (57M05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Homotopy groups (55Q99)

Related Items (14)

In memoriam: Reinhard Winkler (1964--2021) ⋮ Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces. ⋮ Milnor-Thurston homology groups of the Warsaw circle ⋮ Integrals and potentials of differential 1-forms on the Sierpinski gasket ⋮ A noncommutative Sierpinski gasket ⋮ The number of homomorphisms from the Hawaiian earring group ⋮ Fundamental groups of locally connected subsets of the plane ⋮ Rauzy fractals with countable fundamental group ⋮ Dense products in fundamental groupoids ⋮ Topology of planar self-affine tiles with collinear digit set ⋮ Ends of iterated function systems ⋮ On cut sets of attractors of iterated function systems ⋮ Word calculus in the fundamental group of the Menger curve ⋮ Every component of a fractal square is a Peano continuum

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