Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Vector Lattices Via Functional Completions   We show that the Fremlin tensor product $C(X)\bar{\otimes}C(Y)$ is not square
mean complete when X and Y are uncountable metrizable compact spaces. This
motivates the definition of complexification of Archimedean vector lattices,
the Fremlin tensor product of Archimedean complex vector lattices, and a theory
of powers of Archimedean complex vector lattices.

19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom