Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Products and h-homogeneity   Building on work of Terada, we prove that h-homogeneity is productive in the
class of zero-dimensional spaces. Then, by generalizing a result of Motorov, we
show that for every non-empty zero-dimensional space $X$ there exists a
non-empty zero-dimensional space $Y$ such that $X\times Y$ is h-homogeneous.
Also, we simultaneously generalize results of Motorov and Terada by showing
that if $X$ is a space such that the isolated points are dense then $X^\kappa$
is h-homogeneous for every infinite cardinal $\kappa$. Finally, we show that a
question of Terada (whether $X^\omega$ is h-homogeneous for every
zero-dimensional first-countable $X$) is equivalent to a question of Motorov
(whether such an infinite power is always divisible by 2) and give some partial
answers.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an