Grassmannians And Gauss Maps In Piecewise Linear Topology
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Grassmannians And Gauss Maps In Piecewise Linear Topology
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Author : Norman Levitt
language : en
Publisher: Springer
Release Date : 2006-11-14
Grassmannians And Gauss Maps In Piecewise Linear Topology written by Norman Levitt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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.
Algebraic And Geometric Topology
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Author : Andrew Ranicki
language : en
Publisher:
Release Date : 2014-01-15
Algebraic And Geometric Topology written by Andrew Ranicki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
New Perspectives In Algebraic Combinatorics
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Author : Louis J. Billera
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-28
New Perspectives In Algebraic Combinatorics written by Louis J. Billera and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-28 with Mathematics categories.
This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
A House Built On Sand
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Author : Noretta Koertge
language : en
Publisher: Oxford University Press, USA
Release Date : 1998
A House Built On Sand written by Noretta Koertge and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Postmodernism categories.
Cultural critics say that "science is politics by other means," arguing that the results of scientific inquiry are profoundly shaped by the ideological agendas of powerful elites. They base their claims on historical case studies purporting to show the systematic intrusion of sexist, racist, capitalist, colonialist, and/or professional interests into the very content of science. In this hard-hitting collection of essays, contributors offer crisp and detailed critiques of case studies offered by the cultural critics as evidence that scientific results tell us more about social context than they do about the natural world. Pulling no punches, they identify numerous crude factual blunders (e.g. that Newton never performed any experiments) and egregious errors of omission, such as the attempt to explain the slow development of fluid dynamics solely in terms of gender bias. Where there are positive aspects of a flawed account, or something to be learned from it, they do not hesitate to say so. Their target is shoddy scholarship. Comprising new essays by distinguished scholars of history, philosophy, and science, this book raises a lively debate to a new level of seriousness.
Linear Spaces With Few Lines
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Author : Klaus Metsch
language : en
Publisher: Springer
Release Date : 1991-10-23
Linear Spaces With Few Lines written by Klaus Metsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-23 with Mathematics categories.
A famous theorem in the theory of linear spaces states that every finite linear space has at least as many lines as points. This result of De Bruijn and Erd|s led to the conjecture that every linear space with "few lines" canbe obtained from a projective plane by changing only a small part of itsstructure. Many results related to this conjecture have been proved in the last twenty years. This monograph surveys the subject and presents several new results, such as the recent proof of the Dowling-Wilsonconjecture. Typical methods used in combinatorics are developed so that the text can be understood without too much background. Thus the book will be of interest to anybody doing combinatorics and can also help other readers to learn the techniques used in this particular field.
The Geometry Of The Generalized Gauss Map
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Author : David A. Hoffman
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
The Geometry Of The Generalized Gauss Map written by David A. Hoffman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
This paper is devoted primarily to the study of properties of the Grassmannian of oriented 2-planes in [double-struck capital]R[superscript]n and to applications of these properties to understanding minimal surfaces in [double-struck capital]R[superscript]n via the generalized Gauss map. The extrinsic geometry of the Grassmannian, when considered as a submanifold of [double-struck capital]CP[superscript]n-2, is investigated, with special emphasis on the nature of the intersection of the Grassmannian with linear subspaces of [double-struck capital]CP[superscript]n-1. These results are the basis for a discussion of minimal surfaces that are degenerate in various ways; understanding the different types of degeneracy and their interrelations is a critical step toward obtaining a clear picture of the basic geometric properties of minimal surfaces in [double-struck capital]R[superscript]n.
Grassmannians And Gauss Maps In Piecewise Linear Topology
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Author : Norman Levitt
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1989-02-22
Grassmannians And Gauss Maps In Piecewise Linear Topology written by Norman Levitt and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-02-22 with Mathematics categories.
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.
L Enseignement Math Matique
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Author :
language : en
Publisher:
Release Date : 1989
L Enseignement Math Matique written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Vols. for 1965- include a separately paged section, Bulletin bibliographique.
Subject Guide To Books In Print
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Author :
language : en
Publisher:
Release Date : 1996
Subject Guide To Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with American literature categories.
Cumulative Book Index
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Author :
language : en
Publisher:
Release Date : 1990
Cumulative Book Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with American literature categories.
A world list of books in the English language.