Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abstract Fractals   We develop a new definition of fractals which can be considered as an
abstraction of the fractals determined through self-similarity. The definition
is formulated through imposing conditions which are governed the relation
between the subsets of a metric space to build a porous self-similar structure.
Examples are provided to confirm that the definition is satisfied by large
class of self-similar fractals. The new concepts create new frontiers for
fractals and chaos investigations.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs