A. Neeman

works on

enhancements 1 excellent metrics 1 homotopy theory 1 infinity-categories 1 margolis uniqueness conjecture 1 triangulated categories 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

collaborators

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math.CT2025

Excellent metrics on triangulated categories, and the involutivity of the map taking $S$ to $S (S)^{op}$

Amnon Neeman

In the article arXiv:1806.06471 we defined good metrics on triangulated categories, and then studied the construction, that began with a triangulated category $S$ togethe…

math.CT2025

The categories $T^{c}$ and $T_{c}^{b}$ determine each other

Amnon Neeman

Given an essentially small triangulated category it is possible to give a metric on it, to complete it with respect to the metric, and to look at the subcategory of objects in the…

math.CT2025

The category $[T^{c}]^{op}$ as functors on $T_{c}^{b}$

Amnon Neeman

We revisit an old assertion due to Rouquier, characterizing the perfect complexes as bounded homological functors on the bounded complexes of coherent sheaves. The new results vast…

math.CT2025

Triangulated categories with a single compact generator and two Brown representability theorems

Amnon Neeman

We develop the general formalism of approximable triangulated categories, and prove two representability theorems.

Excellent metrics on triangulated categories, and the involutivity of the map taking S to S(S)op

The categories Tc and Tcb​ determine each other

The category [Tc]op as functors on Tcb​

Triangulated categories with a single compact generator and two Brown representability theorems

Excellent metrics on triangulated categories, and the involutivity of the map taking $S$ to $S (S)^{op}$

The categories $T^{c}$ and $T_{c}^{b}$ determine each other

The category $[T^{c}]^{op}$ as functors on $T_{c}^{b}$