  We consider a closure operator $c$ of finite type on the space $SMod(\mathcal
M)$ of thick $\mathcal K$-submodules of a triangulated category $\mathcal M$
that is a module over a tensor triangulated category $(\mathcal K,\otimes,1)$.
Our purpose is to show that the space $SMod^c(\mathcal M)$ of fixed points of
the operator $c$ is a spectral space that also carries the structure of a
topological monoid.
