On the curves of constant relative width
Andrzej Miernowski, Witold Mozgawa (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Andrzej Miernowski, Witold Mozgawa (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Eduardo Casas-Alvero (1991)
Annales de l'institut Fourier
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The base points of the system of polar curves of an irreducible algebroid plane curve with general moduli are determined. As consequences a lower bound for the Tjurina number and many continuous analytic invariants of the curve are found.
Heil, Erhard (1999)
Mathematica Pannonica
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Jean-Michel Morel, Sergio Solimini (1988)
Revista Matemática de la Universidad Complutense de Madrid
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Turgut, Meli, Ali, Ahmad T. (2010)
Acta Universitatis Sapientiae. Mathematica
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Marcin Pilipczuk (2011)
Fundamenta Mathematicae
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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...
Simon Masnou, Jean-Michel Morel (2006)
Rendiconti del Seminario Matematico della Università di Padova
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B. B. Epps (1973)
Colloquium Mathematicae
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Fernando Bertolini (1953)
Compositio Mathematica
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