A Helly-type theorem on a sphere
1967 ◽
Vol 7
(3)
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pp. 323-326
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Keyword(s):
The purpose of this paper is to prove that if n+3, or more, strongly convex sets on an n dimensional sphere are such that each intersection of n+2 of them is empty, then the intersection of some n+1 of them is empty. (The n dimensional sphere is understood to be the set of points in n+1 dimensional Euclidean space satisfying x21+x22+ …+x2n+1 = 1.)
2011 ◽
Vol 03
(04)
◽
pp. 473-489
2018 ◽
Vol 28
(2)
◽
pp. 280-286
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1970 ◽
Vol 22
(2)
◽
pp. 235-241
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1959 ◽
Vol 11
◽
pp. 256-261
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Keyword(s):
1954 ◽
Vol 6
◽
pp. 393-404
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Keyword(s):
Keyword(s):
2010 ◽
Vol 02
(04)
◽
pp. 553-565
Keyword(s):
1966 ◽
Vol 18
◽
pp. 1294-1300
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Keyword(s):