Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theories of anything   We suggest a generalization of \pi_0 for topological groupoids, which encodes
incidence relations among the strata of the associated quotient object, and
argue for its utility by example, starting from the orbit categories of the
theory of compact Lie groups.
  One of the points of this note is that Thom's theory of structurally stable
forms fits quite nicely with the categorical theory of databases developed
recently by D. Spivak; the other is that the stratifications studied by Thom
are closely related to the phase transitions studied in physics, and that the
generalization of \pi_0 proposed here may be useful in their study: in
particular, in organizing our understanding of the scaling laws which naturally
accompany such phenomena, in the theory of condensed matter, biology, finance
...

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org