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portada Descargar ficha PDF Título: Stable Homotopy Around The Arf-Kervaire Invariant
Autor: Snaith Victor P Precio: $1079.35
Editorial: Birkhauser Año: 2009
Tema: Matematicas, Ciencia Edición:
Sinopsis ISBN: 9783764399030
This monograph describes important techniques of stable homotopy theory, both classical and brand new, applying them to the long-standing unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. Opening with an account of the necessary algebraic topology background, it proceeds in a quasi-historical manner to draw from the author's contributions over several decades. A new technique entitled "upper triangular technology" is introduced which enables the author to relate Adams operations to Steenrod operations and thereby to recover most of the important classical Arf-Kervaire invariant results quite simply. The final chapter briefly relates the book to the contemporary motivic stable homotopy theory of Morel-Voevodsky.
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