Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: NonExistence of Manifold structure on topological constructions   We show the non existence of manifold structure on certain topological
constructions. The main results of this paper are: (1) The wedge of manifold
with itself is not a manifold. (2) The cone of a manifold is not a manifold.
The main tools for the main result is homological algebra and algebraic
topology.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th