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Mappings of the Sierpiński Curve Onto Itself
J. J. Charatonik
Proceedings of the American Mathematical Society
Vol. 92, No. 1 (Sep., 1984), pp. 125-132
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2045167
Page Count: 8
You can always find the topics here!Topics: Homeomorphism, Closed curves, Topological theorems, Mathematical theorems, Mathematical problems, Geometric planes, Curves, S curves, Plane curves
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Given two points p and q of the Sierpiński universal plane curve S, necessary and/or sufficient conditions are discussed in the paper under which there is a mapping f of S onto itself such that f(p) = q and f belongs to one of the following: homeomorphisms, local homeomorphisms, local homeomorphisms in the large sense, open, simple or monotone mappings.
Proceedings of the American Mathematical Society © 1984 American Mathematical Society