Crumpled cube

In geometric topology, a branch of mathematics, a crumpled cube is any space in R³ homeomorphic to a 2-sphere together with its interior.^[1] Lininger (1965) showed that the union of a crumpled cube and an open 3-ball glued along their boundaries is a 3-sphere.

References

↑ Martin, Joseph (1966). "The sum of two crumpled cubes". Michigan Mathematical Journal 13 (2): 147–151. doi:10.1307/mmj/1028999538.

Lininger, Lloyd L. (1965), "Some results on crumpled cubes", Transactions of the American Mathematical Society 118: 534–549, doi:10.2307/1993977, ISSN 0002-9947, JSTOR 1993977, MR 0178460

This article is issued from Wikipedia - version of the Wednesday, January 27, 2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.