A positional characterization of the (n-1)-dimensional Sierpiński curve in (η ≠ 4)
Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds
Regularity at the boundary for solutions of linear parabolic differential equations
The stability of the boundary in a Stefan problem
The homotopy dimension of codiscrete subsets of the 2-sphere 𝕊²
Andreas Zastrow conjectured, and Cannon-Conner-Zastrow proved, that filling one hole in the Sierpiński curve with a disk results in a planar Peano continuum that is not homotopy equivalent to a 1-dimensional set. Zastrow's example is the motivation for this paper, where we characterize those planar Peano continua that are homotopy equivalent to 1-dimensional sets. While many planar Peano continua are not homotopy equivalent to 1-dimensional compacta, we prove that each has fundamental group that...
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