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- W2920758081 abstract "We show that every homomorphism from the fundamental group of a one-dimensional Peano continuum to the fundamental group of a planar Peano continuum is induced by a continuous map up to conjugation. The set of points at which a planar Peano continuum X is not locally simply connected, which we denote by B(X), is determined solely by the algebraic structure of its fundamental group. Furthermore, we demonstrate how to reconstruct the topological structure of B(X) using only the subgroup lattice of its fundamental group." @default.
- W2920758081 created "2019-03-11" @default.
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- W2920758081 date "2019-04-01" @default.
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- W2920758081 title "Fundamental groups of locally connected subsets of the plane" @default.
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- W2920758081 doi "https://doi.org/10.1016/j.aim.2019.01.043" @default.
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