Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long colimits of topological groups III: Homeomorphisms of products and
  coproducts   The group of compactly supported homeomorphisms on a Tychonoff space can be
topologized in a number of ways, including as a colimit of homeomorphism groups
with a given compact support, or as a subgroup of the homeomorphism group of
its Stone-\v{C}ech compactification. A space is said to have the Compactly
Supported Homeomorphism Property (CSHP) if these two topologies coincide. The
authors provide necessary and sufficient conditions for finite products of
ordinals equipped with the order topology to have CSHP. In addition, necessary
conditions are presented for finite products and coproducts of spaces to have
CSHP.

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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cs