Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric bistellar flips. The setting, the context and a construction   We give a self-contained introduction to the theory of secondary polytopes
and geometric bistellar flips in triangulations of polytopes and point sets, as
well as a review of some of the known results and connections to algebraic
geometry, topological combinatorics, and other areas.
  As a new result, we announce the construction of a point set in general
position with a disconnected space of triangulations. This shows, for the first
time, that the poset of strict polyhedral subdivisions of a point set is not
always connected.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an