Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology /
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| Author / Creator: | Levitt, N. (Norman), 1943- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1989. |
| Description: | 1 online resource (v, 203 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1366 Lecture notes in mathematics (Springer-Verlag) ; 1366. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11070429 |
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| 100 | 1 | |a Levitt, N. |q (Norman), |d 1943- |0 http://id.loc.gov/authorities/names/n85104531 |1 http://viaf.org/viaf/108799027 | |
| 245 | 1 | 0 | |a Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology / |c Norman Levitt. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1989. | ||
| 300 | |a 1 online resource (v, 203 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1366 | |
| 504 | |a Includes bibliographical references (pages 202-203). | ||
| 505 | 0 | |a Introduction -- Local Formulae for Characteristic classes -- Formal Links and the PL Grassmannian n, k. -- Some Variations of the n, k -- The Immersion Theorem for Subcomplexes of n, k -- Immersions Equivariant with Respect to Orthogonal Actions on Rn+k -- Immersions into Triangulated Manifolds -- The Grassmannian for Piecewise Smooth Immersions -- Some Applications to Smoothing Theory -- Equivariant Piecewise Differentiable Immersions -- Piecewise Differentiable Immersions into Riemannian Manifolds -- Appendix: Glossary of Important Definitions and Constructions -- References. | |
| 520 | |a 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. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Grassmann manifolds. |0 http://id.loc.gov/authorities/subjects/sh85056534 | |
| 650 | 0 | |a Gauss maps. |0 http://id.loc.gov/authorities/subjects/sh85053553 | |
| 650 | 0 | |a Piecewise linear topology. |0 http://id.loc.gov/authorities/subjects/sh85102031 | |
| 650 | 0 | |a Differential topology. |0 http://id.loc.gov/authorities/subjects/sh85037923 | |
| 650 | 6 | |a Grassmann, Variétés de. | |
| 650 | 6 | |a Topologie différentielle. | |
| 650 | 6 | |a Topologie linéaire par morceaux. | |
| 650 | 6 | |a Fonctions gaussiennes. | |
| 650 | 7 | |a Differential topology. |2 fast |0 (OCoLC)fst00893498 | |
| 650 | 7 | |a Gauss maps. |2 fast |0 (OCoLC)fst00939013 | |
| 650 | 7 | |a Grassmann manifolds. |2 fast |0 (OCoLC)fst00946825 | |
| 650 | 7 | |a Piecewise linear topology. |2 fast |0 (OCoLC)fst01063865 | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Levitt, N. (Norman), 1943- |t Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology. |d Berlin ; New York : Springer-Verlag, ©1989 |z 0387507566 |w (DLC) 89006172 |w (OCoLC)19515227 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1366. | |
| 856 | 4 | 0 | |u http://link.springer.com/10.1007/BFb0084994 |y SpringerLink |
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| 929 | |a eresource | ||
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