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).