On some spectral spaces associated to tensor triangulated categories
Abhishek Banerjee

TL;DR
This paper studies a specific closure operator on the space of thick submodules in a tensor triangulated category, proving that its fixed points form a spectral space with a monoid structure.
Contribution
It introduces a finite type closure operator on thick submodules and demonstrates that its fixed points form a spectral space with a compatible topological monoid structure.
Findings
The fixed points of the closure operator form a spectral space.
The space of fixed points has a natural topological monoid structure.
The closure operator is of finite type, ensuring certain topological properties.
Abstract
We consider a closure operator of finite type on the space of thick -submodules of a triangulated category that is a module over a tensor triangulated category . Our purpose is to show that the space of fixed points of the operator is a spectral space that also carries the structure of a topological monoid.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra
