On some spectral spaces associated to tensor triangulated categories

Abstract

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 $SMo{d}^c(\mathcal{M})$ of fixed points of the operator $c$ is a spectral space that also carries the structure of a topological monoid.

10 pages

References in corpus (1)

• Semistar operations and standard closure operations