The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc84-0-3, author = {David G. Larman}, title = {The skeleta of convex bodies}, journal = {Banach Center Publications}, volume = {86}, year = {2009}, pages = {57-62}, zbl = {1167.52006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc84-0-3} }
David G. Larman. The skeleta of convex bodies. Banach Center Publications, Tome 86 (2009) pp. 57-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc84-0-3/