A vanishing theorem for the unstable Adams spectral sequence
نویسندگان
چکیده
منابع مشابه
A Pull Back Theorem in the Adams Spectral Sequence
This paper proves that, for any generator x ∈ Ext A (Zp, Zp), if (1L ∧ i)∗φ∗(x) ∈ Ext A (H ∗L ∧ M,Zp) is a permanent cycle in the Adams spectral sequence (ASS), then h0x ∈ Ext A (Zp, Zp) also is a permenent cycle in the ASS. As an application, the paper obtains that h0hnhm ∈ Ext3,pnq+pmq+q A (Zp, Zp) is a permanent cycle in the ASS and it converges to elements of order p in the stable homotopy ...
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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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ژورنال
عنوان ژورنال: Topology
سال: 1970
ISSN: 0040-9383
DOI: 10.1016/0040-9383(70)90057-1