Crosscap Number

In the mathematical field of knot theory, the crosscap number of a knot K is the minimum of

taken over all compact, connected, non-orientable surfaces S bounding K; here is the Euler characteristic. The crosscap number of the unknot is zero, as the Euler characteristic of the disk is one.

Read more about Crosscap Number:  Examples

Famous quotes containing the word number:

    No Government can be long secure without a formidable Opposition. It reduces their supporters to that tractable number which can be managed by the joint influences of fruition and hope. It offers vengeance to the discontented, and distinction to the ambitious; and employs the energies of aspiring spirits, who otherwise may prove traitors in a division or assassins in a debate.
    Benjamin Disraeli (1804–1881)