arXiv Open Access 2010

Homeomorphisms between limbs of the Mandelbrot set

Dzmitry Dudko Dierk Schleicher

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Abstrak

We prove that for every hyperbolic component of the Mandelbrot set, any two limbs with equal denominators are homeomorphic so that the homeomorphism preserves periods of hyperbolic components. This settles a conjecture on the Mandelbrot set that goes back to 1994.

Topik & Kata Kunci

math.DS

Penulis (2)

Dzmitry Dudko

Dierk Schleicher

Format Sitasi

APA MLA BibTeX

Dudko, D., Schleicher, D. (2010). Homeomorphisms between limbs of the Mandelbrot set. https://arxiv.org/abs/1008.5355

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓