Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fiber Strong Shape Theory for Topological Spaces   In the paper we construct and develop a fiber strong shape theory for
arbitrary spaces over fixed metrizable space $\Bo$. Our approach is based on
the method of Marde\v{s}i\'{c}-Lisica and instead of resolutions, introduced by
Marde\v{s}i\'{c}, their fiber preserving analogues are used. The fiber strong
shape theory yields the classification of spaces over $\Bo$ which is coarser
than the classification of spaces over $\Bo$ induced by fiber homotopy theory,
but is finer than the classification of spaces over $\Bo$ given by usual fiber
shape theory.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg