Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lineability in sequence and function spaces   It is proved the existence of large algebraic structures \break --including
large vector subspaces or infinitely generated free algebras-- inside, among
others, the family of Lebesgue measurable functions that are surjective in a
strong sense, the family of nonconstant differentiable real functions vanishing
on dense sets, and the family of non-continuous separately continuous real
functions. Lineability in special spaces of sequences is also investigated.
Some of our findings complete or extend a number of results by several authors.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an