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Abstract We show that continuous epimorphisms between a class of subgroups of mapping class groups of orientable infinite-genus 2-manifolds with no planar ends are always induced by homeomorphisms. This class of subgroups includes the pure mapping class group, the closure of the compactly supported mapping classes, and the full mapping class group in the case that the underlying manifold has a finite number of ends or is perfectly self-similar. As a corollary, these groups are Hopfian topological groups.more » « lessFree, publicly-accessible full text available March 1, 2026
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We study the finiteness properties of the braided Higman–Thompson groupbV_{d,r}(H)with labels inH\leq B_d, andbF_{d,r}(H)andbT_{d,r}(H)with labels inH\leq PB_d, whereB_dis the braid group withdstrings andPB_dis its pure braid subgroup. We show that for alld\geq 2andr\geq 1, the groupbV_{d,r}(H)(resp.bT_{d,r}(H)orbF_{d,r}(H)) is of typeF_nif and only ifHis. Our result in particular confirms a recent conjecture of Aroca and Cumplido.more » « less
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Coarse-grained materials are widely accepted to display the highest strain hardening and the best tensile ductility. We experimentally report an attractive strain hardening rate throughout the deformation stage at 77 kelvin in a stable single-phase alloy with gradient dislocation cells that even surpasses its coarse-grained counterparts. Contrary to conventional understanding, the exceptional strain hardening arises from a distinctive dynamic structural refinement mechanism facilitated by the emission and motion of massive multiorientational tiny stacking faults (planar defects), which are fundamentally distinct from the traditional linear dislocation–mediated deformation. The dominance of atomic-scale planar deformation faulting in plastic deformation introduces a different approach for strengthening and hardening metallic materials, offering promising properties and potential applications.more » « less
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