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A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^{n}$ (η ≠ 4)

J. Cannon — 1973

Fundamenta Mathematicae

Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds

J. Cannon; R. Daverman — 1981

Fundamenta Mathematicae

Regularity at the boundary for solutions of linear parabolic differential equations

J. R. Cannon — 1965

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The stability of the boundary in a Stefan problem

J. R. Cannon; Jim Jr Douglas — 1967

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The homotopy dimension of codiscrete subsets of the 2-sphere 𝕊²

J. W. Cannon; G. R. Conner — 2007

Fundamenta Mathematicae

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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Currently displaying 1 – 5 of 5

A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^{n}$ (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

Advanced Search

Formula preview

Currently displaying 1 – 5 of 5

A positional characterization of the (n-1)-dimensional Sierpiński curve in S n (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

A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^{n}$ (η ≠ 4)