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math.CT2021
Big categories, big spectra
Scott Balchin, Greg Stevenson
We introduce a new topological invariant of a rigidly-compactly generated tensor-triangulated category and two new notions of support. The first is based on smashing subcategories:…
math.AT2021
Model structures on finite total orders
Scott Balchin, Kyle Ormsby, Angélica M. Osorno +1
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order , we enume…
math.AT2021
Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories
Scott Balchin, J. P. C. Greenlees
We prove the existence of various adelic-style models for rigidly small-generated tensor-triangulated categories whose Balmer spectrum is a one-dimensional Noetherian topological s…