Grassmannians and Gauss Maps in Piecewise-linear Topology

The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the PL category. They are distinguished from "classifying space" and "classifying map" which are essentially homotopy-theoretic notions. The analogs of Grassmannian...

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Detaylı Bibliyografya
Yazar: Levitt, Norman, 1943-2009
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1366
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Edition sous un autre format:• Grassmannians and Gauss maps in piecewise-linear topology, Norman Levitt, 1989, Berlin, Springer-Verlag, 1 vol. (V-203 p.), Lecture notes in mathematics, 0-387-50756-6
• Grassmannians and Gauss Maps in Piecewise-Linear Topology, Texte imprimé, 9783662206362
Diğer Bilgiler
Özet:The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the PL category. They are distinguished from "classifying space" and "classifying map" which are essentially homotopy-theoretic notions. The analogs of Grassmannian and Gauss map defined incorporate geometric and combinatorial information. Principal applications involve characteristic class theory, smoothing theory, and the existence of immersion satifying certain geometric criteria, e.g. curvature conditions. The book assumes knowledge of basic differential topology and bundle theory, including Hirsch-Gromov-Phillips theory, as well as the analogous theories for the PL category. The work should be of interest to mathematicians concerned with geometric topology, PL and PD aspects of differential geometry and the geometry of polyhedra.
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540460787 (PDF)
ISSN:1617-9692
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