Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Function spaces and contractive extensions in Approach Theory: The role
  of regularity   Two classical results characterizing regularity of a convergence space in
terms of continuous extensions of maps on one hand, and in terms of continuity
of limits for the continuous convergence on the other, are extended to
convergence-approach spaces. Characterizations are obtained for two alternative
extensions of regularity to convergence-approach spaces: regularity and strong
regularity. The results improve upon what is known even in the convergence
case. On the way, a new notion of strictness for convergence-approach spaces is
introduced.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci