Article ID Journal Published Year Pages File Type
4660193 Topology and its Applications 2010 6 Pages PDF
Abstract

Generalised Sierpiński carpets are planar sets that generalise the well-known Sierpiński carpet and are defined by means of sequences of patterns. We present necessary and sufficient conditions, under which generalised Sierpiński carpets are connected, with respect to Euclidean topology.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology