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 \(SMod^c(\mathcal M)\) of fixed points of the operator c is a spectral space that also carries the structure of a topological monoid.
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Acknowledgements
I am grateful for the hospitality of the Stefan Banach Center at the IMPAN in Warsaw, where a part of this paper was written.
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Banerjee, A. On some spectral spaces associated to tensor triangulated categories. Arch. Math. 108, 581–591 (2017). https://doi.org/10.1007/s00013-017-1025-4
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DOI: https://doi.org/10.1007/s00013-017-1025-4