Continuous Families of Smooth Curves and Grünbaum’s Conjecture
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 345-350
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First we construct spreads consisting of analytic curves (circular arcs and segments), without points of finite multiplicity. Then we see that, in the sense of Baire categories, most such spreads have no points of finite multiplicity.
Zamfirescu, Tudor; Zucco, Andreana. Continuous Families of Smooth Curves and Grünbaum’s Conjecture. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 345-350. doi: 10.4153/CMB-1984-052-4
@article{10_4153_CMB_1984_052_4,
author = {Zamfirescu, Tudor and Zucco, Andreana},
title = {Continuous {Families} of {Smooth} {Curves} and {Gr\"unbaum{\textquoteright}s} {Conjecture}},
journal = {Canadian mathematical bulletin},
pages = {345--350},
year = {1984},
volume = {27},
number = {3},
doi = {10.4153/CMB-1984-052-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-052-4/}
}
TY - JOUR AU - Zamfirescu, Tudor AU - Zucco, Andreana TI - Continuous Families of Smooth Curves and Grünbaum’s Conjecture JO - Canadian mathematical bulletin PY - 1984 SP - 345 EP - 350 VL - 27 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-052-4/ DO - 10.4153/CMB-1984-052-4 ID - 10_4153_CMB_1984_052_4 ER -
%0 Journal Article %A Zamfirescu, Tudor %A Zucco, Andreana %T Continuous Families of Smooth Curves and Grünbaum’s Conjecture %J Canadian mathematical bulletin %D 1984 %P 345-350 %V 27 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-052-4/ %R 10.4153/CMB-1984-052-4 %F 10_4153_CMB_1984_052_4
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