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Triangulated categories with a single compact generator and two Brown representability theorems
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We develop the general formalism of approximable triangulated categories, and prove two representability theorems.
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Cited by 2 Pith papers
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Localizing invariants of inverse limits
Continuous K-theory of nuclear modules on Spf(R^hat_I) is isomorphic to lim_n K(R/I^n), via internal projectivity and strongly Mittag-Leffler inverse sequences.
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Remarks on diagonal dimension for algebraic stacks
For smooth, separated, quasi-DM stacks over a regular affine scheme, the diagonal dimension is bounded by a formula in dim R, dim U, and cd(Y); for varieties with mild singularities it is at most 2·dim X.
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