Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the structure of fixed-point sets of asymptotically regular
  semigroups   We extend a few recent results of G\'{o}rnicki (2011) asserting that the set
of fixed points of an asymptotically regular mapping is a retract of its
domain. In particular, we prove that in some cases the resulting retraction is
H\"{o}lder continuous. We also characterise Bynum's coefficients and the Opial
modulus in terms of nets.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org