The Koch curve as a smooth manifold

Marcelo Epstein and Jędrzej Śniatycki

Chaos, Solitons & Fractals, 2008, vol. 38, issue 2, 334-338

Abstract: We show that there exists a homeomorphism between the closed interval [0,1]⊂R and the Koch curve endowed with the subset topology of R2. We use this homeomorphism to endow the Koch curve with the structure of a smooth manifold with boundary.

Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:2:p:334-338

DOI: 10.1016/j.chaos.2006.11.036

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