Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A homogeneous space whose complement is rigid   We construct a homogeneous subspace of $2^\omega$ whose complement is dense
in $2^\omega$ and rigid. Using the same method, assuming Martin's Axiom, we
also construct a countable dense homogeneous subspace of $2^\omega$ whose
complement is dense in $2^\omega$ and rigid.

7
The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph