23 citations · 44 across the 34 of their papers we have counts for
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Refinements of chromatic towers and Krull-Schmidt decompositions in stable homotopy categories
Sunil K. Chebolu
We study the triangulated subcategories of compact objects in stable homotopy categories such as the homotopy category of spectra, the derived categories of rings, and the stable m…
Thick subcategories in stable homotopy theory
Sunil K. Chebolu
In these lectures we give an exposition of the seminal work of Devinatz, Hopkins and Smith which is surrounding the classification of the thick subcategories of finite spectra in s…
Refining thick subcategory theorems
Sunil K. Chebolu
We use a -theory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the fu…
Krull-Schmidt decompositions for thick subcategories
Sunil K. Chebolu
Following Krause \cite{Kr}, we prove Krull-Schmidt type decomposition theorems for thick subcategories of various triangulated categories including the derived categories of rings,…