Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stratified simplices and intersection homology   Intersection homology is obtained from ordinary homology by imposing
conditions on how the embedded simplices meet the strata of a space $X$. In
this way, for the middle perversity, properties such as strong Lefschetz are
preserved. This paper defines local-global intersection homology groups, that
record global information about the singularities of $X$. They differ from
intersection homology in that stratified rather than ordinary simplices are
used. An example of such is $\sigma_j\times C\sigma_i$, where $\sigma_i$ and
$\sigma_j$ are ordinary simplices, and $C$ is the coning operator. The paper
concludes with a sketch of the relationship between local-global homology and
the geometry of convex polytopes. This paper is a more formal exposition of
part of the author's `Local-global intersection homology', alg-geom/9709011.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol