Displaying similar documents to “The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets”

On embedding curves in surfaces

Bajguz, W.

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Contrary to a statement of Borsuk the author proves that every locally plane Peano continuum is embeddable into a 2-manifold.

A characterisation of a continuous curve

R. Moore (1925)

Fundamenta Mathematicae

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The purpose of this paper is to prove: Théorème: In order that a continuum M should be a continuous curve it is necessary and sufficient that for every two distinct points A and B of M there should exist a subset of M which consists of a finite number of continua and which separates A from B in M. Théorème: In order that a bounded continuum M should be a continuous curve which contains no domain and does not separate the plane it is necessary and sufficient that for every two distinct...