General Position and Structural Stability in Piecewise Linear Topology PDF Download
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Author: David Allen Singer
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
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Author: David Allen Singer
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
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Book Description
Author: Colin P. Rourke
Publisher: Springer Science & Business Media
ISBN: 3642817351
Category : Mathematics
Languages : en
Pages : 133
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Book Description
The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.
Author: United States. Congress. House. Committee on Appropriations. Subcommittee on VA, HUD, and Independent Agencies
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 1362
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Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9781556080036
Category : Mathematics
Languages : en
Pages : 540
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Book Description
V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Author: John F. P. Hudson
Publisher:
ISBN:
Category : Piecewise linear topology
Languages : en
Pages : 304
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Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937951
Category : Mathematics
Languages : en
Pages : 967
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Author: United States. Congress. House. Committee on Appropriations. Subcommittee on VA, HUD, and Independent Agencies
Publisher:
ISBN:
Category : History
Languages : en
Pages : 1288
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Author: Norman Levitt
Publisher: Springer
ISBN: 3540460780
Category : Mathematics
Languages : en
Pages : 208
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Book Description
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.
Author: R. H. Bing
Publisher: American Mathematical Soc.
ISBN: 9780821810477
Category : Mathematics
Languages : en
Pages : 1702
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Book Description
A powerful mathematician and a great problem solver, R. H. Bing laid the foundation for a number of areas of topology. Many of his papers have continued to serve as a source of major theoretical developments and concrete applications in recent years. One outstanding example was Michael H. Freedman's use of Bing's Shrinking Criterion to solve the four-dimensional Poincaré Conjecture. This two-volume set brings together over one hundred of Bing's research, expository, andmiscellaneous papers. These works range over a great variety of topics in topology, including the topology of manifolds, decomposition spaces, continua, metrization, general topology, and geometric topology. In addition, there are a number of papers in the areas of convex functions, linearity, and conformalvarieties. The introductory section in the first volume provides historical background on Bing's life and achievements. This collection will appeal to mathematicians in all areas, and especially those in topology, as well as students, historians, and educators in the mathematical sciences, for it provides a complete historical summary of the mathematical events in the life of the man and the mathematician, R. H. Bing.
Author: Colin Patrick Rourke
Publisher:
ISBN:
Category :
Languages : en
Pages : 123
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