Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Nyquist theorem for cellular sheaves   We develop a unified sampling theory based on sheaves and show that the
Shannon-Nyquist theorem is a cohomological consequence of an exact sequence of
sheaves. Our theory indicates that there are additional cohomological
obstructions for higher-dimensional sampling problems. Using these
obstructions, we also present conditions for perfect reconstruction of
piecewise linear functions on graphs, a collection of non-bandlimited functions
on topologically nontrivial domains.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc