Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological classification of scattered IFS-attractors   We study countable compact spaces as potential attractors of iterated
function systems. We give an example of a convergent sequence in the real line
which is not an IFS-attractor and for each countable ordinal $\delta$ we show
that a countable compact space of height $\delta+1$ can be embedded in the real
line so that it becomes the attractor of an IFS. On the other hand, we show
that a scattered compact metric space of limit height is never an
IFS-attractor.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom