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Creators/Authors contains: "Aramayona, Javier"

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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. ; ; (, Journal of Group Theory)
    Abstract We classify surface Houghton groups, as well as their pure subgroups, up to isomorphism, commensurability, and quasi-isometry. 
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  3. ; ; ; (, Mathematische Annalen)
    Abstract For every$$n\ge 2$$ n ≥ 2 , thesurface Houghton group$${\mathcal {B}}_n$$ B n is defined as the asymptotically rigid mapping class group of a surface with exactlynends, all of them non-planar. The groups$${\mathcal {B}}_n$$ B n are analogous to, and in fact contain, the braided Houghton groups. These groups also arise naturally in topology: every monodromy homeomorphism of a fibered component of a depth-1 foliation of closed 3-manifold is conjugate into some$${\mathcal {B}}_n$$ B n . As countable mapping class groups of infinite type surfaces, the groups$$\mathcal {B}_n$$ B n lie somewhere between classical mapping class groups and big mapping class groups. We initiate the study of surface Houghton groups proving, among other things, that$$\mathcal {B}_n$$ B n is of type$$\text {F}_{n-1}$$ F n - 1 , but not of type$$\text {FP}_{n}$$ FP n , analogous to the braided Houghton groups. 
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  4. ; ; ; ; ; (, Groups, Geometry, and Dynamics)
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