Comparison theorems of two Adams spectral sequences
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چکیده
منابع مشابه
A Note on two theorems by Adams and McGee
Three-valued accounts of conditionals frequently promise (a) to conform to the probabilistic view that conditionals are evaluated by conditional probabilities, and (b) to yield a plausible account of compounds of conditionals. However, McGee (1981) shows that probabilistic validity, the conception of validity most naturally associated with the probabilistic view, cannot be characterized by a fi...
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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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Suppose given functors A × A F B G C between abelian categories, an object X in A and an object X ′ in A such that F (X,−), F (−,X ) and G are left exact, and such that further conditions hold. We show that, E1-terms exempt, the Grothendieck spectral sequence of the composition of F (X,−) and G evaluated at X ′ is isomorphic to the Grothendieck spectral sequence of the composition of F (−,X ) a...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 2003
ISSN: 0018-2079
DOI: 10.32917/hmj/1150997943