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＜電子ブック＞
Grassmannians and Gauss Maps in Piecewise-Linear Topology / by Norman Levitt
(Lecture Notes in Mathematics. ISSN:16179692 ; 1366)

版	1st ed. 1989.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1989
本文言語	英語
大きさ	V, 203 p : online resource
冊子体	Grassmannians and Gauss maps in piecewise-linear topology / Norman Levitt ; : gw,: us
著者標目	*Levitt, Norman author SpringerLink (Online service)
件　名	LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential FREE:Manifolds and Cell Complexes FREE:Differential Geometry
一般注記	Local formulae for characteristic classes -- Formal links and the PL grassmannian G n,k -- Some variations of the G n,k construction -- The immersion theorem for subcomplexes of G n,k -- Immersions equivariant with respect to orthogonal actions on Rn+k -- Immersions into triangulated manifolds (with R. Mladineo) -- The grassmannian for piecewise smooth immersions -- Some applications to smoothing theory -- Equivariant piecewise differentiable immersions -- Piecewise differentiable immersions into riemannian manifolds 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0084994

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