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p-Skeleton


The p-skeleton of a simplicial complex K, where p is a nonnegative integer, is the simplicial subcomplex consisting of all simplices of K of dimension at most p, denoted K^((p)) (Munkres 1993).

For a CW-complex X, the p-skeleton X^p is the union of its cells of dimension at most p. The special case p=1 is the 1-skeleton (Hatcher 2002).


See also

1-Skeleton, Skeleton

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References

Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.

Cite this as:

Weisstein, Eric W. "p-Skeleton." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/p-Skeleton.html

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