On the fundamental group of the Sierpiński-gasket
نویسندگان
چکیده
منابع مشابه
Hanoi attractors and the Sierpiński gasket
The famous game Towers of Hanoi is related with a family of so–called Hanoi–graphs. We regard these non self–similar graphs as geometrical objects and obtain a sequence of fractals (HGα)α converging to the Sierpiński gasket which is one of the best studied fractals. It is shown that this convergence holds not only with respect to the Hausdorff distance, but that also Hausdorff dimension does co...
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We give a description of the fundamental group π(△) of the Sierpiński-gasket △. It turns out that this group is isomorphic to a certain subgroup of an inverse limit lim ←− Gn formed by the fundamental groups Gn of natural approximations of △. This subgroup, and with it π(△), can be described in terms of sequences of words contained in an inverse limit of semigroups.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2009
ISSN: 0166-8641
DOI: 10.1016/j.topol.2009.01.012