Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A P.C.F. Self-Similar Set with no Self-Similar Energy   A general class of finitely ramified fractals is that of P.C.F. self-similar
sets. An important open problem in analysis on fractals was whether there
exists a self-similar energy on every P.C.F. self-similar set. In this paper, I
solve the problem, showing an example of a P.C.F. self-similar set where there
exists no self-similar energy.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org