Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real Projective Iterated Function Systems   This paper contains four main results associated with an attractor of a
projective iterated function system (IFS). The first theorem characterizes when
a projective IFS has an attractor which avoids a hyperplane. The second theorem
establishes that a projective IFS has at most one attractor. In the third
theorem the classical duality between points and hyperplanes in projective
space leads to connections between attractors that avoid hyperplanes and
repellers that avoid points as well as hyperplane attractors that avoid points
and repellers that avoid hyperplanes. Finally, an index is defined for
attractors which avoid a hyperplane. This index is shown to be a nontrivial
projective invariant.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex