Geodesic
Simplicial convex 4-polytopes do not have the isotopy property
Portugaliae mathematica, Tome 47 (1990) no. 3, pp. 309-318.

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Keywords: chirotope, combinatorial geometry, oriented matroid, convex polytopes, combinatorially equivalent, isotopy 
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     title = {Simplicial convex 4-polytopes do not have the isotopy property},
     journal = {Portugaliae mathematica},
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     zbl = {0714.52005},
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Bokowski, Jürgen; Guedes de Oliveira, A. Simplicial convex 4-polytopes do not have the isotopy property. Portugaliae mathematica, Tome 47 (1990) no. 3, pp. 309-318. http://geodesic.mathdoc.fr/item/PORMA_1990__47_3_115720/