Geodesic
A Remark on Convex Polytopes
Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 829-830

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In this note we wish to present an alternative proof for the following well-known theorem [1, Theorem 16]: every convex polytope X in Euclidean n-dimensional space Rn is the intersection of a finite family of closed half-spaces. It will be supposed that the converse of this theorem has been verified by conventional arguments, namely: every bounded intersection of a finite family of closed half-spaces in Rn is a convex polytope [cf. 1, Theorem 15]. 
Glass, A. S. A Remark on Convex Polytopes. Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 829-830. doi: 10.4153/CMB-1965-064-1
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     title = {A {Remark} on {Convex} {Polytopes}},
     journal = {Canadian mathematical bulletin},
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     year = {1965},
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     doi = {10.4153/CMB-1965-064-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-064-1/}
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