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035   $a(DE-B1597)9783110200027
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100   $a20030303d2003      uy             0
101 0 $aeng
135   $aurun#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aEquivariant degree theory$b[electronic resource] /$fJorge Ize, Alfonso Vignoli
205   $aReprint 2012
210   $aBerlin ;$aNew York $cWalter de Gruyter$d2003
215   $a1 online resource (384 p.)
225 1 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v8
300   $aDescription based upon print version of record.
311 0 $a3-11-017550-9 
320   $aIncludes bibliographical references (p. [337]-358) and index.
327   $tFront matter --$tPreface --$tContents --$tIntroduction --$tChapter 1. Preliminaries --$tChapter 2. Equivariant Degree --$tChapter 3. Equivariant Homotopy Groups of Spheres --$tChapter 4. Equivariant Degree and Applications --$tAppendix A. Equivariant Matrices --$tAppendix ?. Periodic Solutions of Linear Systems --$tBibliography --$tIndex
330   $aThis book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties.
410  0$aGruyter series in nonlinear analysis and applications ;$v8.
606   $aTopological degree
606   $aHomotopy groups
608   $aElectronic books.
615  0$aTopological degree.
615  0$aHomotopy groups.
676   $a514/.2
686   $aSK 300$2rvk
700   $aIze$b Jorge$f1946-$0876707
701   $aVignoli$b Alfonso$f1940-$060716
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910451750403321
996   $aEquivariant degree theory$92460397
997   $aUNINA