Lyusternik-Schnirelmann Theorem

If a sphere is covered by three closed sets, then one of them must contain a pair of antipodal points.

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Dodson, C. T. J. and Parker, P. E. A User's Guide to Algebraic Topology. Dordrecht, Netherlands: Kluwer, pp. 122 and 284, 1997.

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Lyusternik-Schnirelmann Theorem

Cite this as:

Weisstein, Eric W. "Lyusternik-Schnirelmann Theorem." From MathWorld--A Wolfram Web Resource.

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