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  • 1 Heriot-Watt University School of Mathematical and Computer Sciences, and the Maxwell Institute for the Mathematical Sciences Edinburgh EH14 4AS UK
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We introduce the notion of path extensions of tiling semigroups and investigate their properties. We show that the path extension of a tiling semigroup yields a strongly F*-inverse cover of the tiling semigroup and that it is isomorphic to an HNN* extension of its semilattice of idempotents.