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010   $a1-280-39176-6
010   $a9786613569684
010   $a3-642-12589-1
024 7 $a10.1007/978-3-642-12589-8
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035   $a(PQKBTitleCode)TC0000449722
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035   $a(DE-He213)978-3-642-12589-8
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035   $a(EXLCZ)992670000000028900
100   $a20100510d2010      uy         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aIntersection spaces, spatial homology truncation, and string theory /$fMarkus Banagl
205   $a1st ed. 2010.
210   $aNew York $cSpringer$d2010
215   $a1 online resource (XVI, 224 p.) 
225 1 $aLecture notes in mathematics,$x0075-8434 ;$v1997
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-12588-3 
320   $aIncludes bibliographical references (p. 211-213) and index.
330   $aIntersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality. The cornerstone of the method is a process of spatial homology truncation, whose functoriality properties are analyzed in detail. The material on truncation is autonomous and may be of independent interest to homotopy theorists. The cohomology of intersection spaces is not isomorphic to intersection cohomology and possesses algebraic features such as perversity-internal cup-products and cohomology operations that are not generally available for intersection cohomology. A mirror-symmetric interpretation, as well as applications to string theory concerning massless D-branes arising in type IIB theory during a Calabi-Yau conifold transition, are discussed.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1997.
606   $aIntersection homology theory
606   $aString models
606   $aDuality theory (Mathematics)
615  0$aIntersection homology theory.
615  0$aString models.
615  0$aDuality theory (Mathematics)
676   $a514.23
686   $a55N33$a57P10$a14J17$a81T30$a55P30$a55S36$a14J32$a14J33$2msc
700   $aBanagl$b Markus$0478943
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483896403321
996   $aIntersection spaces, spatial homology truncation, and string theory$9261785
997   $aUNINA