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Book Stable Stems

    Book Details:
  • Author : Daniel C. Isaksen
  • Publisher : American Mathematical Soc.
  • Release : 2020-02-13
  • ISBN : 1470437880
  • Pages : 159 pages

Download or read book Stable Stems written by Daniel C. Isaksen and published by American Mathematical Soc.. This book was released on 2020-02-13 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over C through the 70-stem. He then uses the motivic Adams spectral sequence to obtain motivic stable homotopy groups through the 59-stem. He also describes the complete calculation to the 65-stem, but defers the proofs in this range to forthcoming publications. In addition to finding all Adams differentials, the author also resolves all hidden extensions by 2, η, and ν through the 59-stem, except for a few carefully enumerated exceptions that remain unknown. The analogous classical stable homotopy groups are easy consequences. The author also computes the motivic stable homotopy groups of the cofiber of the motivic element τ. This computation is essential for resolving hidden extensions in the Adams spectral sequence. He shows that the homotopy groups of the cofiber of τ are the same as the E2-page of the classical Adams-Novikov spectral sequence. This allows him to compute the classical Adams-Novikov spectral sequence, including differentials and hidden extensions, in a larger range than was previously known.

Book Symplectic Cobordism and the Computation of Stable Stems

Download or read book Symplectic Cobordism and the Computation of Stable Stems written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.

Book Complex Cobordism and Stable Homotopy Groups of Spheres

Download or read book Complex Cobordism and Stable Homotopy Groups of Spheres written by Douglas C. Ravenel and published by American Mathematical Soc.. This book was released on 2003-11-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.

Book The Stable Book

    Book Details:
  • Author : John Stewart
  • Publisher :
  • Release : 1856
  • ISBN :
  • Pages : 396 pages

Download or read book The Stable Book written by John Stewart and published by . This book was released on 1856 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Bordism  Stable Homotopy and Adams Spectral Sequences

Download or read book Bordism Stable Homotopy and Adams Spectral Sequences written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1996 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of lecture notes that were prepared for the graduate course ``Adams Spectral Sequences and Stable Homotopy Theory'' given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously. All results are proved in complete detail. Only elementary facts from algebraic topology and homological algebra are assumed. Each chapter concludes with a guide for further study.

Book Deployable Structures

    Book Details:
  • Author : Esther Rivas Adrover
  • Publisher : Laurence King Publishing
  • Release : 2015-09-07
  • ISBN : 1780677952
  • Pages : 204 pages

Download or read book Deployable Structures written by Esther Rivas Adrover and published by Laurence King Publishing. This book was released on 2015-09-07 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deployable structures can expand and contract due to their geometrical, material and mechanical properties – offering the potential to create truly transforming environments. This book looks at the cutting edge of the subject, examining the different types of deployable structures and numerous design approaches. Filled with photographs, models, drawings and diagrams, Deployable Structures is packed with inspirational ideas for architecture students and practitioners.

Book Uncemented Femoral Stems for Revision Surgery

Download or read book Uncemented Femoral Stems for Revision Surgery written by Pierre Le Béguec and published by Springer. This book was released on 2015-03-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Choosing an uncemented femoral prosthesis means first choosing a concept and to be effective, an operator has to have access to all the information that will allow them to reach the desired goals. This is the first step to be made. The quality of a surgical procedure does not depend on the manual skills of the surgeon performing it, but on how he has prepared and performed the operation “virtually” before actually performing it. This is the second step. An operating technique must be adapted to the chosen concept and the purpose of every surgical procedure must be clearly formulated and understood by the operator. This is the third step. Every surgeon has to have a reliable and rigorous radiological method of analysis for evaluating overall results and which suggests ways of improving results.

Book The Stable Fly

    Book Details:
  • Author : Fred Corry Bishopp
  • Publisher :
  • Release : 1913
  • ISBN :
  • Pages : 40 pages

Download or read book The Stable Fly written by Fred Corry Bishopp and published by . This book was released on 1913 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Unprincipled Virtue

    Book Details:
  • Author : Nomy Arpaly
  • Publisher : Oxford University Press
  • Release : 2002-11-28
  • ISBN : 0199882320
  • Pages : 214 pages

Download or read book Unprincipled Virtue written by Nomy Arpaly and published by Oxford University Press. This book was released on 2002-11-28 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nomy Arpaly rejects the model of rationality used by most ethicists and action theorists. Both observation and psychology indicate that people act rationally without deliberation, and act irrationally with deliberation. By questioning the notion that our own minds are comprehensible to us--and therefore questioning much of the current work of action theorists and ethicists--Arpaly attempts to develop a more realistic conception of moral agency.

Book A User s Guide to Spectral Sequences

Download or read book A User s Guide to Spectral Sequences written by John McCleary and published by Cambridge University Press. This book was released on 2001 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.

Book Global Homotopy Theory

    Book Details:
  • Author : Stefan Schwede
  • Publisher : Cambridge University Press
  • Release : 2018-09-06
  • ISBN : 110842581X
  • Pages : 847 pages

Download or read book Global Homotopy Theory written by Stefan Schwede and published by Cambridge University Press. This book was released on 2018-09-06 with total page 847 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.

Book 1 25 dihydroxyvitamin D3 Regulation of Osteocalcin MRNA Stability

Download or read book 1 25 dihydroxyvitamin D3 Regulation of Osteocalcin MRNA Stability written by Surawut Watana and published by . This book was released on 2003 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Progress in Nucleic Acid Research and Molecular Biology

Download or read book Progress in Nucleic Acid Research and Molecular Biology written by and published by Academic Press. This book was released on 1980-03-05 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Nucleic Acid Research and Molecular Biology

Book Proceedings

Download or read book Proceedings written by and published by . This book was released on 1973 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Degree Theory of Immersed Hypersurfaces

Download or read book Degree Theory of Immersed Hypersurfaces written by Harold Rosenberg and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function.

Book Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation

Download or read book Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation written by Victor Beresnevich and published by American Mathematical Soc.. This book was released on 2020-04-03 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert   s 17th Problem

Download or read book An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert s 17th Problem written by Henri Lombardi and published by American Mathematical Soc.. This book was released on 2020-04-03 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials 222d4k where d is the number of variables of the input polynomial. The authors' method is based on the proof of an elementary recursive bound on the degrees for Stengle's Positivstellensatz. More precisely the authors give an algebraic certificate of the emptyness of the realization of a system of sign conditions and obtain as degree bounds for this certificate a tower of five exponentials, namely 22(2max{2,d}4k+s2kmax{2,d}16kbit(d)) where d is a bound on the degrees, s is the number of polynomials and k is the number of variables of the input polynomials.