Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metrizable images of the Sorgenfrey line   We give descriptions of metrizable topological spaces that are images of the
Sorgenfrey line under continuous maps of different types (open, closed,
quotient and others). To obtain this descriptions, we introduce the notion of a
Lusin pi-base, the Sorgenfrey line and the Baire space have Lusin pi-bases, and
if a space X has a Lusin pi-base, then for each nonempty Polish space Y, there
exists a continuous open map from X onto Y.

3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th