Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering the boundary path space of a topological graph using
  pointless topology   First, we generalize the definition of a locally compact topology given by
Paterson and Welch for a sequence of locally compact spaces to the case where
the underlying spaces are $T_1$ and sober. We then consider a certain
semilattice of basic open sets for this topology on the space of all paths on a
graph and impose relations motivated by the definitions of graph C*-algebra in
order to recover the boundary path space of a graph. This is done using
techniques of pointless topology. Finally, we generalize the results to the
case of topological graphs.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph