Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coperfectly Hopfian Groups and Shape Fibrator's Properties   This paper provides further investigation of the concept of shape m$_{\rm
simpl}$-fibrators (previously introduced by the author). The main results
identify shape m$_{\rm simpl}$-fibrators among direct products of Hopfian
manifolds. First it is established that every closed orientable manifold
homotopically determined by $\pi_1$ with coperfectly Hopfian group (a new class
of Hopfian groups that are introduced here) is a shape m$_{\rm
simpl}$o-fibrator if it is a codimension-2 fibrator (Theorem 5.4). The main
result (Theorem 6.2) states that the direct product of two closed orientable
manifolds (of different dimension) homotopically determined by $\pi_1$ and with
coperfectly Hopfian fundamental groups (one normally incommensurable with the
other one) is a shape m$_{\rm simpl}$o-fibrator, if it is a Hopfian manifold
and a codimension-2 fibrator.

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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con