Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shellability and Regularity of Chain Complexes over a Principal Ring   The goal of this paper is to generalize some of the existing toolkit of
combinatorial algebraic topology in order to study the homology of abstract
chain complexes. We define shellability of chain complexes in a similar way as
for cell complexes and introduce the notion of regular chain complexes. In the
case of chain complexes coming from simplicial complexes we recover the
classical notions but, in contrast to the topological case, in the abstract
setting shellings turn out to be a weaker homological invariant. In particular,
we study special chain complexes, which are cones, and a class of regular chain
complexes, for which we can obtain complete homological information.

19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ