Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fibrations between finite topological spaces   We study Hurewicz fibrations between finite T$_0$--spaces from a
combinatorial viewpoint and give strong conditions that a continuous map
between finite T$_0$--spaces must satisfy in order to be a Hurewicz fibration.
We also show that there exists a strong relationship between Hurewicz
fibrations between finite T$_0$--spaces and Grothendieck bifibrations. Finally
we give several interesting examples that illustrate this theory and show that
many of the assumptions of our results are necessary.

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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cs
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: econ