Axes in Outer Space
ጃን 2011 · American Mathematical Soc.
ኢ-መጽሐፍ
104
ገጾች
reportየተሰጡት ደረጃዎች እና ግምገማዎች የተረጋገጡ አይደሉም የበለጠ ለመረዳት
ስለዚህ ኢ-መጽሐፍ
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.
ስለደራሲው
Michael Handel is at CUNY, Herbert H. Lehman College, Bronx, NY
ለዚህ ኢ-መጽሐፍ ደረጃ ይስጡ
ምን እንደሚያስቡ ይንገሩን።
የንባብ መረጃ
ዘመናዊ ስልኮች እና ጡባዊዎች
የGoogle Play መጽሐፍት መተግበሪያውን ለAndroid እና iPad/iPhone ያውርዱ። ከእርስዎ መለያ ጋር በራስሰር ይመሳሰላል እና ባሉበት የትም ቦታ በመስመር ላይ እና ከመስመር ውጭ እንዲያነቡ ያስችልዎታል።
ላፕቶፖች እና ኮምፒውተሮች
የኮምፒውተርዎን ድር አሳሽ ተጠቅመው በGoogle Play ላይ የተገዙ ኦዲዮ መጽሐፍትን ማዳመጥ ይችላሉ።
ኢሪደሮች እና ሌሎች መሳሪያዎች
እንደ Kobo ኢ-አንባቢዎች ባሉ ኢ-ቀለም መሣሪያዎች ላይ ለማንበብ ፋይል አውርደው ወደ መሣሪያዎ ማስተላለፍ ይኖርብዎታል። ፋይሎቹን ወደሚደገፉ ኢ-አንባቢዎች ለማስተላለፍ ዝርዝር የእገዛ ማዕከል መመሪያዎቹን ይከተሉ።
