Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideal approach to convergence in functional spaces   We solve the last standing open problem from the seminal paper by J. Gerlits
and Zs. Nagy, which was later reposed by A. Miller, T. Orenshtein and B.
Tsaban. Namely, we show that under p = c there is a \delta-set, which is not a
\gamma-set. Thus we construct a set of reals A such that although Cp(A), the
space of all real-valued continuous functions on A, does not have
Frechet-Urysohn property, Cp(A) still possesses Pytkeev property. Moreover,
under CH we construct a \pi-set which is not a \delta-set solving a problem by
M. Sakai. In fact, we construct various examples of \delta-sets, which are not
\gamma-sets, satisfying finer properties parametrized by ideals on natural
numbers. Finally, we distinguish ideal variants of Frechet-Urysohn property for
many different Borel ideals in the realm of functional spaces.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th