Topological Library Part 1 Cobordisms And Their Applications PDF Download
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| Author | : Serguei Petrovich Novikov |
| Publisher | : World Scientific |
| Total Pages | : 386 |
| Release | : 2007-07-09 |
| Genre | : Mathematics |
| ISBN | : 9814475955 |
Download Topological Library - Part 1: Cobordisms And Their Applications Book in PDF, ePub and Kindle
This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “Singular homologies of fibre spaces.”This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted.
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : |
| Genre | : Characteristic classes |
| ISBN | : |
Download Topological Library: Cobordisms and their applications Book in PDF, ePub and Kindle
| Author | : Сергей Петрович Новиков |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 396 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : |
Download Topological Library Book in PDF, ePub and Kindle
1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
| Author | : Serguei Petrovich Novikov |
| Publisher | : World Scientific |
| Total Pages | : 590 |
| Release | : 2012-07-25 |
| Genre | : Mathematics |
| ISBN | : 9814401323 |
Download Topological Library - Part 3: Spectral Sequences In Topology Book in PDF, ePub and Kindle
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.”
| Author | : Serguei Petrovich Novikov |
| Publisher | : World Scientific |
| Total Pages | : 278 |
| Release | : 2009-10-07 |
| Genre | : Mathematics |
| ISBN | : 9814469297 |
Download Topological Library - Part 2: Characteristic Classes And Smooth Structures On Manifolds Book in PDF, ePub and Kindle
This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “singular homologies of fiber spaces.”
| Author | : Sergeĭ Petrovich Novikov |
| Publisher | : World Scientific |
| Total Pages | : 278 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 981283687X |
Download Topological Library Book in PDF, ePub and Kindle
1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
| Author | : Serge? Petrovich Novikov |
| Publisher | : World Scientific |
| Total Pages | : 590 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 9814401315 |
Download Topological Library Book in PDF, ePub and Kindle
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
| Author | : Alexey Stakhov |
| Publisher | : World Scientific |
| Total Pages | : 285 |
| Release | : 2017-10-17 |
| Genre | : Mathematics |
| ISBN | : 9813228636 |
Download Numeral Systems With Irrational Bases For Mission-critical Applications Book in PDF, ePub and Kindle
This volume is the result of the author's many-years of research in this field. These results were presented in the author's two books, Introduction to the Algorithmic Measurement Theory (Moscow, Soviet Radio, 1977), and Codes of the Golden Proportion (Moscow, Radio and Communications, 1984), which had not been translated into English and are therefore not known to English-speaking audience. This volume sets forth new informational and arithmetical fundamentals of computer and measurement systems based on Fibonacci p-codes and codes of the golden p-proportions, and also on Bergman's system and 'golden' ternary mirror-symmetrical arithmetic. The book presents some new historical hypotheses concerning the origin of the Egyptian calendar and the Babylonian numeral system with base 60 (dodecahedral hypothesis), as well as about the origin of the Mayan's calendar and their numeral system with base 20 (icosahedral hypothesis). The book is intended for the college and university level. The book will also be of interest to all researchers, who use the golden ratio and Fibonacci numbers in their subject areas, and to all readers who are interested to the history of mathematics.
| Author | : Vassily Olegovich Manturov |
| Publisher | : World Scientific |
| Total Pages | : 541 |
| Release | : 2015-01-27 |
| Genre | : Mathematics |
| ISBN | : 9814630632 |
Download New Ideas In Low Dimensional Topology Book in PDF, ePub and Kindle
This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.
| Author | : Fiedler Thomas |
| Publisher | : World Scientific |
| Total Pages | : 260 |
| Release | : 2019-08-27 |
| Genre | : Mathematics |
| ISBN | : 9811210314 |
Download Polynomial One-cocycles For Knots And Closed Braids Book in PDF, ePub and Kindle
Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.
