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Skeleton (topology) : ウィキペディア英語版
N-skeleton

:''This article is not about the topological skeleton concept of computer graphics''
In mathematics, particularly in algebraic topology, the of a topological space ''X'' presented as a simplicial complex (resp. CW complex) refers to the subspace ''X''''n'' that is the union of the simplices of ''X'' (resp. cells of ''X'') of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the .
These subspaces increase with ''n''. The is a discrete space, and the a topological graph. The skeletons of a space are used in obstruction theory, to construct spectral sequences by means of filtrations, and generally to make inductive arguments. They are particularly important when ''X'' has infinite dimension, in the sense that the ''X''''n'' do not become constant as
== In geometry ==

In geometry, a of P (functionally represented as skel''k''(''P'')) consists of all elements of dimension up to ''k''.〔Peter McMullen, Egon Schulte, Abstract Regular Polytopes, Cambridge University Press, 2002. ISBN 0-521-81496-0 (Page 29)〕
For example:
: skel0(cube) = 8 vertices
: skel1(cube) = 8 vertices, 12 edges
: skel2(cube) = 8 vertices, 12 edges, 6 square faces

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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