Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concerning Fundamental Groups of Locally Connected Subsets of the Plane   We show that every homomorphism from a one-dimensional Peano continuum to a
planar Peano continuum is induced by a continuous map up to conjugation. We
then prove that the topological structure of the space of points at which a
planar Peano continuum is not semi-locally simply connected is determined
solely by algebraic information contained in its fundamental group.
Furthermore, we demonstrate how to reconstruct the topological structure of the
space of points at which a planar Peano continuum is not semi-locally simply
connected using only the subgroup lattice of its fundamental group.

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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga