# Stable Homotopy Groups of Spheres: A Computer Assisted Approach (Lecture Notes in Mathematics) ePub download

## by Stanley O. Kochman

**Author:**Stanley O. Kochman**ISBN:**0387524681**ISBN13:**978-0387524689**ePub:**1637 kb |**FB2:**1584 kb**Language:**English**Category:**Mathematics**Publisher:**Springer Verlag (July 1, 1990)**Rating:**4.9/5**Votes:**818**Format:**mbr lrf txt mobi

A Computer-Assisted Approach.

A Computer-Assisted Approach. A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres + S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. After the tools for this analysis are developed, these methods are applied to compute inductively the first 64 stable stems, a substantial improvement over the previously known 45. Much of this computation is algorithmic and is done by computer.

A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres + S.

topology is the calculation of the values of the stable homotopy groups of spheres + S. In this book, a new . You Might Also Enjoy.

book by Stanley O. Kochman.

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Author: Stanley O. Kochman Lecture Notes in Mathematics An informal series of special lectures, seminars and reports o. . Stable Homotopy Theory. Equivariant stable homotopy theory.

Stable Homotopy Groups of Spheres : A Computer-Assisted Approach.

Stanley Kochmann, Stable Homotopy Groups of Spheres – A Computer-Assisted Approach, Lecture Notes in Mathematics, 1990. Stanley Kochmann, section 5 of of Bordism, Stable Homotopy and Adams Spectral Sequences, AMS 1996. A tabulation of stable homotopy groups of spheres is in. Doug Ravenel, Appendix 3 of Complex cobordism and stable homotopy groups of spheres (pdf). Original articles on basic properties include.

The problem of computing the stable homotopy groups of spheres is of fundamen-tal importance in algebraic topology. Stable homotopy groups of spheres, a computer-assisted approach. Lecture Notes in Mathematics 1423, Springer-Verlag, 1990. Although this subject has been studied for a very long time, the Adams spectral sequence is still the best way to do stemwise computations at the prime 2. Bruner produced a computer-generated table of d2 dierentials in the Adams spectral sequence. He started with his theorem on the interaction between Adams dierentials and squaring operations to obtain several values of the d2 dierential.

Our proof is a computation of homotopy groups of spheres. Koc, author {Kochman, Stanley ., title {Stable Homotopy Groups of Spheres}, series {Lecture Notes in Math

Our proof is a computation of homotopy groups of spheres. We prove this differential by introducing a new technique based on the algebraic and geometric Kahn-Priddy theorems., title {Stable Homotopy Groups of Spheres}, series {Lecture Notes in Math. volume {1423}, titlenote {A computer-assisted approach}, publisher {Springer-Verlag, New York}, year {1990}, pages {viii+330}, isbn {3-540-52468-1}, mrclass {55Q45.

complete intersections Harvey Rogert Margolis - Spectra and the Steenrod Algebra .

An introduction Manfred Knebusch - Weakly semialgebraic spaces Stanley O. Kochman - Stable homotopy groups of spheres: a computer-assisted approach Ulrich Koschorke . complete intersections Harvey Rogert Margolis - Spectra and the Steenrod Algebra . Massey - A basic course in algebraic topology Sergei Matveev - Algorithmic topology and classification of 3-manifolds Sergei Matveev - Algorithmic topology and classification of 3-manifolds Sergey V. Matveev - Lectures on algebraic topology J. P. May - Concise course in algebraic topology Peter May - Simplicial objects in algebraic topology .