Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Products of special sets of real numbers   We describe a simple machinery which translates results on algebraic sums of
sets of reals into the corresponding results on their cartesian product. Some
consequences are:
  1. The product of a meager/null-additive set and a strong measure
zero/strongly meager set in the Cantor space has strong measure zero/is
strongly meager, respectively.
  2. Using Scheepers' notation for selection principles:
Sfin(Omega,Omega^gp)\cap S1(O,O)=S1(Omega,Omega^gp), and Borel's Conjecture for
S1(Omega,Omega) (or just S1(Omega,Omega^gp)) implies Borel's Conjecture.
  These results extend results of Scheepers and Miller, respectively.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an