In this paper, we first introduce the notions of thick and prime tensor ideals in tensor $n$-angulated categories and then obtain the Balmer spectrum of such categories. We consider the topological properties of this spectrum. Moreover, we introduce the notion of radical tensor ideals in tensor $n$-angulated categories and show that they can be parametrized by supports of subcategories. Furthermore, we provide Balmer's classification theorem in terms of Thomason subsets of the spectrum space.

We have introduced the notion of quasi-resolving subcategories in a triangulated category with a proper class of triangles. We provided some criteria for computing the resolution dimension of objects relative to a quasi-resolving subcategory. We also provided a method to construct quasi-resolving subcategories from given ones.