Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concrete constructions of non-pavable projections   It is known that the paving conjecture fails for 2-paving projections with
constant diagonal 1/2. But the proofs of this fact are existence proofs. We
will give concrete examples of these projections and projections with constant
diagonal $1/r$ which are not $r$-pavable in a very strong sense.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat