Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A tall space with small bottom   We introduce a general method of constructing locally compact scattered
spaces from certain families of sets and then, with the help of this method, we
prove that if kappa^{<kappa}=kappa then there is such a space of height kappa^+
with only kappa many isolated points. This implies that there is a locally
compact scattered space of height omega_2 with omega_1 isolated points in ZFC,
solving an old problem of the first author.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn