Contractible subshifts are introduced as block-map gluings strengthening strong irreducibility; they coincide with retracts of full shifts precisely when they are SFTs with fixed points, and imply dense periodic points on virtually polycyclic, metabelian Baumslag-Solitar, and lamplighter groups.
Irreducibility and periodicity in Z2 symbolic systems
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Contractible subshifts
Contractible subshifts are introduced as block-map gluings strengthening strong irreducibility; they coincide with retracts of full shifts precisely when they are SFTs with fixed points, and imply dense periodic points on virtually polycyclic, metabelian Baumslag-Solitar, and lamplighter groups.