ON PROPERLY NESTED NORMAL IMMERSIONS OF THE CIRCLE INTO THE PLANE WITH TITUS CONDITION
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概要
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For a properly nested normal immersion of the unit 1-sphere into the plane, Titus [3] gave a necessary and sufficient condition to extend to an immersion of the unit disk into the plane. Francis [1] also proved the uniqueness of the extension up to topological equivalence using the result of Blank [2]. In this paper we give an elementary proof of these two theorems by using a system of inequalties and the mean value theorem.
- Yokohama City University and Yokohama National Universityの論文
- 2002-00-00
Yokohama City University and Yokohama National University | 論文
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