Computation of the Stable Homotopy Groups of Spheres

Computation of the Stable Homotopy Groups of Spheres

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This book concerns a central problem in algebraic topology-stable homotopy groups of spheres. Ever since J. P. Serre's historic result showed that the homotopy groups of spheres are finitely generated in 1950s, the determination of homotopy groups of spheres has always been the focus of algebraic topologists. Up to now, still much has not been known to us. In our book, we consider the stable part of the homotopy groups of spheres. We will mainly apply two computation tools to detect nontrivial elements of the stable homotopy groups of spheres-Adams spectral sequence and May spectral sequence. ...