Topological rigidity of good fractal necklaces
نویسندگان
چکیده
We introduce and characterize extremal 2-cuts for good fractal necklaces. Using this characterization the related topological properties of 2-cuts, we prove that every necklace has a unique IFS in certain sense. Also, two necklaces admit only rigid homeomorphisms thus group self-homeomorphisms is countable. In addition, weaker co-Hopfian property also obtained.
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ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2022
ISSN: ['0001-5954', '0236-5294', '1588-2632']
DOI: https://doi.org/10.1007/s10474-022-01275-6