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- W4300474805 abstract "We formulate a general abstract criterion for verifying the local-to-global principle for a rigidly-compactly generated tensor triangulated category. Our approach is based upon an inductive construction using dimension functions. Using our criterion we give a new proof of the theorem that the local-to-global principle holds for such categories when they have a model and the spectrum of the compacts is noetherian. As further applications we give a new set of conditions on the spectrum of the compacts that guarantee the local-to-global principle holds and use this to classify localising subcategories in the derived category of a semi-artinian absolutely flat ring." @default.
- W4300474805 created "2022-10-03" @default.
- W4300474805 creator A5051537056 @default.
- W4300474805 date "2016-01-06" @default.
- W4300474805 modified "2023-09-30" @default.
- W4300474805 title "The local-to-global principle for triangulated categories via dimension functions" @default.
- W4300474805 doi "https://doi.org/10.48550/arxiv.1601.01205" @default.
- W4300474805 hasPublicationYear "2016" @default.
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