Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointed Homotopy of Maps Between 2-Crossed Modules of Commutative
  Algebras   We address the homotopy theory of 2-crossed modules of commutative algebras,
which are equivalent to simplicial commutative algebras with Moore complex of
length two. In particular, we construct for maps of 2-crossed modules a
homotopy relation, and prove that it yields an equivalence relation in very
unrestricted cases (freeness up to order one of the domain 2-crossed module).
This latter condition strictly includes the case when the domain is cofibrant.
Furthermore, we prove that this notion of homotopy yields a groupoid with
objects being the 2-crossed module maps between two fixed 2-crossed modules
(with free up to order one domain), the morphisms being the homotopies between
2-crossed module maps.

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The categories of this paper are: q-alg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas