Geodesic
Independence for Sets of Topological Spheres
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 520-524

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Consider a collection of topological spheres in Euclidean space whose intersections are essentially topological spheres. We find a bound for the number of components of the complement of their union and discuss conditions for the bound to be achieved. This is used to give a necessary condition for independence of these sets. A related conjecture of Griinbaum on compact convex sets is discussed.
DOI : 10.4153/CMB-1991-082-1
Mots-clés : 52A37, 05B99 
Pakula, Lewis; Schwartzman, Sol. Independence for Sets of Topological Spheres. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 520-524. doi: 10.4153/CMB-1991-082-1
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     title = {Independence for {Sets} of {Topological} {Spheres}},
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     year = {1991},
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     doi = {10.4153/CMB-1991-082-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-082-1/}
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