The -skeleton of a simplicial
complex
,
where
is a nonnegative
integer, is the simplicial subcomplex
consisting of all simplices of
of dimension at most
, denoted
(Munkres 1993).
For a CW-complex , the
-skeleton
is the union of its cells of dimension
at most
.
The special case
is the 1-skeleton (Hatcher 2002).