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Creators/Authors contains: "Vlamis, Nicholas G"

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  1. ; ; ; ; ; (, International Mathematics Research Notices)
    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. 
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    Free, publicly-accessible full text available March 1, 2026
  2. ; (, Mathematische Zeitschrift)
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  3. ; ; (, Journal of Knot Theory and Its Ramifications)
    null (Ed.)
    The Thurston norm of a three-manifold measures the complexity of surfaces representing two-dimensional homology classes. We study the possible unit balls of Thurston norms of three-manifolds [Formula: see text] with [Formula: see text], and whose fundamental groups admit presentations with two generators and one relator. We show that even among this special class, there are three-manifolds such that the unit ball of the Thurston norm has arbitrarily many faces. 
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