Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$ Terance D. Miethe Effective use of learning objectives

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this oral history book includes testimonies from Vivienne Westwood

Problematic Integration Theory

Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$ Terance D. Miethe Effective use of learning objectivesIn this two part work we prove that for every finitely generated subgroup ? < Out(Fn), either ? is virtually abelian or H2 b (?; R) contains a vector space embedding of 1. The method uses actions on hyperbolic spaces. In Part I we focus on the case of infinite lamination subgroups ? those for which the set of all attracting laminations of all elements of ? is an infinite set using actions on free splitting complexes of free groups. In Part II we focus