Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A purely homotopy theoretic proof of the Blakers-Massey Theorem for
  $n$-cubes   Goodwillie's proof of the Blakers-Massey Theorem for $n$-cubes relies on a
lemma whose proof invokes transversality. The rest of his proof follows from
general facts about cubes of spaces and connectivities of maps. We present a
purely homotopy-theoretic proof of this lemma. The methods are elementary,
using a generalization and modification of an argument originally due to Puppe
used to prove the Blakers-Massey Theorem for squares.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci