Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalization of distance to higher dimensional objects   The measurement of distance between two objects is generalized to the case
where the objects are no longer points but are one-dimensional. Additional
concepts such as non-extensibility, curvature constraints, and non-crossing
become central to the notion of distance. Analytical and numerical results are
given for some specific examples, and applications to biopolymers are
discussed.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom