Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological monomorphisms between free paratopological groups   Suppose that $X$ is a subspace of a Tychonoff space $Y$. Then the embedding
mapping $e_{X, Y}: X\rightarrow Y$ can be extended to a continuous monomorphism
$\hat{e}_{X, Y}: AP(X)\rightarrow AP(Y)$, where $AP(X)$ and $AP(Y)$ are the
free Abelian paratopological groups over $X$ and $Y$, respectively. In this
paper, we mainly discuss when $\hat{e}_{X, Y}$ is a topological monomorphism,
that is, when $\hat{e}_{X, Y}$ is a topological embedding of $AP(X)$ to
$AP(Y)$.

12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
16
The categories of this paper are: stat
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg