Some characterizations of special curves in the Euclidean space .
Turgut, Meli, Ali, Ahmad T. (2010)
Acta Universitatis Sapientiae. Mathematica
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Some characterizations of special curves in the Euclidean space .
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We give a characterization of compact subsets of finite unions of disjoint finite-length curves in ℝⁿ with ω-continuous derivative and without self-intersections. Intuitively, our condition can be formulated as follows: there exists a finite set of regular curves covering a compact set K iff every triple of points of K behaves like a triple of points of a regular curve. This work was inspired by theorems by Jones, Okikiolu, Schul and others that characterize compact...
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