Kirjojen hintavertailu – 12 903 725 kirjaa ja 27 kauppaa
Kirjailija
Michael Handel
Kirjat ja teokset yhdessä paikassa: 6 kirjaa, julkaisuja vuosilta 2003–2024, suosituimpiin kuuluu Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$. Vertaile teosten hintoja ja tarkista saatavuus suomalaisista kirjakaupoista.
The authors develop a notion of axis in the Culler-Vogtmann outer space $\mathcal{X}_r$ of a finite rank free group $F_r$, with respect to the action of a nongeometric, fully irreducible outer automorphism $\phi$. Unlike the situation of a loxodromic isometry acting on hyperbolic space, or a pseudo-Anosov mapping class acting on Teichmüller space, $\mathcal{X}_r$ has no natural metric, and $\phi$ seems not to have a single natural axis. Instead these axes for $\phi$, while not unique, fit into an ""axis bundle"" $\mathcal{A}_\phi$ with nice topological properties: $\mathcal{A}_\phi$ is a closed subset of $\mathcal{X}_r$ proper homotopy equivalent to a line, it is invariant under $\phi$, the two ends of $\mathcal{A}_\phi$ limit on the repeller and attractor of the source-sink action of $\phi$ on compactified outer space, and $\mathcal{A}_\phi$ depends naturally on the repeller and attractor. The authors propose various definitions for $\mathcal{A}_\phi$, each motivated in different ways by train track theory or by properties of axes in Teichmüller space, and they prove their equivalence.
A detailed account of the way Israel dealt with the Iraqi nuclear buildup between its launch in 1974 and the destruction of the Tamuz I reactor on 7 June 1981. This updated account includes formerly classified information and photographs taken during the mission and from US spy satellites.
A detailed account of the way Israel dealt with the Iraqi nuclear buildup between its launch in 1974 and the destruction of the Tamuz I reactor on 7 June 1981. This updated account includes formerly classified information and photographs taken during the mission and from US spy satellites.
