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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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Grassmannians and Gauss Maps in Piecewise-Linear Topology (Paperback, 1989 ed.)
Loot Price: R1,393
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Grassmannians and Gauss Maps in Piecewise-Linear Topology (Paperback, 1989 ed.)
Series: Lecture Notes in Mathematics, 1366
Expected to ship within 10 - 15 working days
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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.
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