Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Support theory via actions of tensor triangulated categories   We give a definition of the action of a tensor triangulated category T on a
triangulated category K. In the case that T is rigidly-compactly generated and
K is compactly generated we show this gives rise to a notion of supports which
categorifies work of Benson, Iyengar, and Krause and extends work of Balmer and
Favi. We prove that a suitable version of the local-to-global principle holds
very generally. A relative version of the telescope conjecture is formulated
and we give a sufficient condition for it to hold.

9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an