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100   $a20201010d2020      uy             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLaminational models for some spaces of polynomials of any degree /$fAlexander Blokh [and three others]
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2020.
215   $a1 online resource (118 pages)
225 1 $aMemoirs of the American Mathematical Society ;$vNumber 1288
311   $a1-4704-4176-4 
320   $aIncludes bibliographical references and index.
327   $aInvariant laminations : general properties -- Special types of invariant laminations -- Applications : Spaces of topological polynomials.
330   $a"The so-called "pinched disk" model of the Mandelbrot set is due to A. Douady, J. H. Hubbard and W. P. Thurston. It can be described in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an equivalence relation that, loosely speaking, "pinches" the disk in the plane (whence the name of the model). The significance of the model lies in particular in the fact that this quotient is planar and therefore can be easily visualized. The conjecture that the Mandelbrot set is actually homeomorphic to this model is equivalent to the celebrated MLC conjecture stating that the Mandelbrot set is locally connected. For parameter spaces of higher degree polynomials no combinatorial model is known. One possible reason may be that the higher degree analog of the MLC conjecture is known to be false. We investigate to which extent a geodesic lamination is determined by the location of its critical sets and when different choices of critical sets lead to essentially the same lamination. This yields models of various parameter spaces of laminations similar to the "pinched disk" model of the Mandelbrot set"--$cProvided by publisher.
410  0$aMemoirs of the American Mathematical Society ;$vNumber 1288.
606   $aGeodesics (Mathematics)
606   $aPolynomials
606   $aInvariant manifolds
606   $aCombinatorial analysis
606   $aDynamics
615  0$aGeodesics (Mathematics)
615  0$aPolynomials.
615  0$aInvariant manifolds.
615  0$aCombinatorial analysis.
615  0$aDynamics.
676   $a514/.742
686   $a37F20$a37F10$a37F50$2msc
700   $aBlokh$b Alexander M.$f1958-$01154927
702   $aOversteegen$b Lex G.
702   $aPtacek$b Ross
702   $aTimorin$b Vladlen
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910794002703321
996   $aLaminational models for some spaces of polynomials of any degree$93694400
997   $aUNINA