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The Koch curve as a smooth manifold

Authors :
Epstein, Marcelo
Śniatycki, Jędrzej
Source :
Chaos, Solitons & Fractals. Oct2008, Vol. 38 Issue 2, p334-338. 5p.
Publication Year :
2008

Abstract

Abstract: We show that there exists a homeomorphism between the closed interval and the Koch curve endowed with the subset topology of . We use this homeomorphism to endow the Koch curve with the structure of a smooth manifold with boundary. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
09600779
Volume :
38
Issue :
2
Database :
Academic Search Index
Journal :
Chaos, Solitons & Fractals
Publication Type :
Periodical
Accession number :
32087697
Full Text :
https://doi.org/10.1016/j.chaos.2006.11.036