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Sierpinski curves in finite 2-complexes

Sierpinski curves in finite 2-complexes

In this note certain one-dimensional continua are defined for finite 2-complexes.These continua, called S-curves, are a generalization of the Sierpinski plane universal curve.By a 2-complex is meant a finite connected 2-dimensional euclidean polyhedron which has a triangulation such that every 1-simplex is the face of at least one 2-simplex.It is …