Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on a question of R. Pol concerning light maps   Let f:X -> Y be an onto map between compact spaces such that all
point-inverses of f are zero-dimensional. Let A be the set of all functions u:X
-> I=[0,1] such that $u[f^\leftarrow(y)]$ is zero-dimensional for all y in Y.
Do almost all maps u:X -> I, in the sense of Baire category, belong to A? H.
Toru\'nczyk proved that the answer is yes if Y is countable-dimensional. We
extend this result to the case when Y has property C.

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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
19
The categories of this paper are: eess
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin