Secondary derived functors and the Adams spectral sequence
نویسندگان
چکیده
منابع مشابه
The Motivic Adams Spectral Sequence
We present some data on the cohomology of the motivic Steenrod algebra over an algebraically closed field of characteristic 0. Our results are based on computer calculations and a motivic version of the May spectral sequence. We discuss features of the associated Adams spectral sequence, and use these tools to give new proofs of some results in classical algebraic topology. We also consider a m...
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My aim with these notes is to quickly get the student started with the Adams spectral sequence. To see its power requires that some concrete calculations be done. However, the algebra required can quickly become overwhelming if one starts with the generalized Adams spectral sequence. The classical Adams spectral sequence, in contrast, can be quickly set up and used to do some calculations which...
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I t has been long known that the cohomology H (A) of the mod 2 Steenrod algebra A admits squaring operations. (For example, see [ó].) Since H(A) is isomorphic to the £2 term of the mod 2 Adams spectral sequence [2], it is natural to inquire as to the relation of these squaring operations to the structure of the Adams spectral sequence. In this note we announce some results of this type extendin...
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The Adams spectral sequence is a powerful tool for computing homotopy groups of a spectrum, somehow taken with respect to a certain cohomology theory. In particular, it allows one to compute the homotopy groups of certain spaces, given sufficient input data. In this paper, we give a detailed development of the Adams spectral sequence, following Adams 1974 and Ravenel 2015. After a proof of conv...
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ژورنال
عنوان ژورنال: Topology
سال: 2006
ISSN: 0040-9383
DOI: 10.1016/j.top.2005.08.001