The $ A_\infty$-structures and differentials of the Adams spectral sequence
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چکیده
منابع مشابه
The A∞-structures and differentials of the Adams spectral sequence
Using operad methods and functional homology operations, we obtain inductive formulae for the differentials of the Adams spectral sequence of stable homotopy groups of spheres. The Adams spectral sequence was invented by Adams [1] almost fifty years ago for the calculation of stable homotopy groups of topological spaces (in particular, those of spheres). The calculation of the differentials of ...
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The Adams spectral sequence was invented by J.F.Adams [1] almost fifty years ago for calculations of stable homotopy groups of topological spaces and in particular of spheres. The calculation of differentials of this spectral sequence is one of the most difficult problem of Algebraic Topology. Here we consider an approach to solve this problem in the case of Z/2 coefficients and find inductive ...
متن کامل0 a ∞ - Structures and Differentials of the Adams Spectral Sequence
The Adams spectral sequence was invented by J.F.Adams [1] almost fifty years ago for calculations of stable homotopy groups of topological spaces and in particular of spheres. The calculation of differentials of this spectral sequence is one of the most difficult problem of Algebraic Topology. Here we consider an approach to solve this problem in the case of Z/2 coefficients and find inductive ...
متن کاملJu l 2 00 1 E ∞ - STRUCTURES AND DIFFERENTIALS OF THE ADAMS SPECTRAL SEQUENCE
The Adams spectral sequence was invented by J.F.Adams [1] almost fifty years ago for calculations of stable homotopy groups of topological spaces and in particular of spheres. The calculation of differentials of this spectral sequence is one of the most difficult problem of Algebraic Topology. Here we consider an approach to solve this problem in the case of Z/2 coefficients and find inductive ...
متن کاملBott’s Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres
Bott’s periodicity theorem is applied to calculate higher-order differentials of the Adams spectral sequence of homotopy groups π∗(SO). The resulting formulas are used to find higher-order differentials of the Adams spectral sequence of homotopy groups of spheres. DOI: 10.1134/S0001434608110126
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ژورنال
عنوان ژورنال: Izvestiya: Mathematics
سال: 2002
ISSN: 1064-5632,1468-4810
DOI: 10.1070/im2002v066n05abeh000406