EUDML

Let $R$ be a ring. In two previous articles [12, 14] we studied the homotopy category $𝐊 (R - Proj)$ of projective $R$ -modules. We produced a set of generators for this category, proved that the category is $ℵ_{1}$ -compactly generated for any ring $R$ , and showed that it need not always be compactly generated, but is for sufficiently nice $R$ . We furthermore analyzed the inclusion $j_{!}^{} : 𝐊 (R - Proj) \to 𝐊 (R - Flat)$ and the orthogonal subcategory $𝒮 = {𝐊 (R - Proj)}^{⊥}$ . And we even showed that the inclusion $𝒮 \to 𝐊 (R - Flat)$ has a right adjoint; this forces some natural map to be an equivalence...

Extension categories and their homotopy

Amnon Neeman; Vladimir Retakh — 1996

Compositio Mathematica

Homotopy limits in triangulated categories

Marcel Bökstedt; Amnon Neeman — 1993

Compositio Mathematica

An application of classical invariant theory to identifiability in nonparametric mixtures

Ryan Elmore; Peter Hall; Amnon Neeman — 2005

Annales de l’institut Fourier

It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.

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On the derived category of sheaves on a manifold.

The connection between May's axioms for a triangulated tensor product and Happel's description of the derived category of the quiver $D_{4}$ .

Noncommutative localisation in algebraic $K$ -theory. I.

Stable homotopy as a triangulated functor.

The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crowley-Boevey, and Grothendieck's Riemannian-Roch and duality theorems.

The connection between the $K$ -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

Explicit cogenerators for the homotopy category of projective modules over a ring

Extension categories and their homotopy

Homotopy limits in triangulated categories

An application of classical invariant theory to identifiability in nonparametric mixtures