A Property of Convex Pseudopolyhedra
Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 31-32
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In this note we prove one theorem and make a few conjectures, all of which are connected with the following problem raised by S. Mazur [l]: does there exist a closed convex surface whose plane sections give all plane closed convex curves, up to affinities? For our purposes we define a convex pseudopolyhedron to be the closed convex hull of a countable bounded nonplanar sequence of points in E3 with exactly one limit point.
Melzak, Z.A. A Property of Convex Pseudopolyhedra. Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 31-32. doi: 10.4153/CMB-1959-007-6
@article{10_4153_CMB_1959_007_6,
author = {Melzak, Z.A.},
title = {A {Property} of {Convex} {Pseudopolyhedra}},
journal = {Canadian mathematical bulletin},
pages = {31--32},
year = {1959},
volume = {2},
number = {1},
doi = {10.4153/CMB-1959-007-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1959-007-6/}
}
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