<Verb>PathComponent(K,n):: SimplicialComplex, Int --> SimplicialComplex</Verb> 
<Verb>PathComponent(K,n):: PureCubicalComplex, Int --> PureCubicalComplex</Verb>
<Verb>PathComponent(K,n):: PurePermComplex, Int --> PurePermComplex</Verb><P/>

<P/>Inputs a simplicial, pure cubical  or pure permutahedral complex 
<M>K</M> together with an integer <M>1 \le n \le \beta_0(K)</M>.
The <M>n</M>-th path component of <M>K</M> is returned.


