Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the homeomorphism and homotopy type of complexes of multichains   In this paper we define and study for a finite partially ordered set P a
class of simplicial complexes on the set P_r of r-element multichains from P.
The simplicial complexes depend on a strictly monotone function from [r] to
[2r]. We show that there exactly 2^r such functions which yield subdivisions of
the order complex of P of which 2^{r-1} are pairwise different. Within this
class are for example the order complexes of the interval and the zig-zag poset
of P and the rth edgewise subdivision of the order complex of P. We also
exhibit a large subclass for which our simplicial complexes are order complexes
and homotopy equivalent to the order complex of P.

25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph