Swiss cheese (mathematics)
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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.
[edit] References
- van den Berg, M.; Bolthausen, E. and den Hollander, F. (2004). "On the volume of the intersection of two Wiener sausages". Annals of Mathematics 159: 741-783.