Swiss cheese (mathematics)

For other uses, see Swiss cheese (disambiguation).

In mathematics, a Swiss cheese is a compact subset of the complex plane obtained by removing from a closed disc some countable union of open discs. More generally, a Swiss cheese may be all or part of Euclidean space Rⁿ – or of an even more complicated manifold – with "holes" in it.

References

van den Berg, M.; Bolthausen, E.; den Hollander, F. (2004). "On the volume of the intersection of two Wiener sausages". Annals of Mathematics 159 (2): 741–783. doi:10.4007/annals.2004.159.741. |access-date= requires |url= (help)

This article is issued from Wikipedia - version of the Saturday, July 18, 2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.