Strong convergence of the Eilenberg-Moore spectral sequence
نویسندگان
چکیده
منابع مشابه
Strong Convergence of the Eilenberg-moore Spectral Sequence
LET p : E-t B be a fibration of pointed spaces with fiber F. Let A be any abelian group, and suppose that the base B is connected. Our main result is: THEOREM. The mod A Eilenberg-Moore spectral sequence of p cotverges strongly to H,(F, A) ifand oni,v if z,(B) acts nilpotently on H,(F, A) for each i 2 0. This statement has to be explained. First of all, the theorem refers to the general " Eilen...
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Let p:E B be a fibration over a connected space B with fiber F. The Eilenberg-Moore spectral sequence of p is a second quadrant spectral sequence which tries and sometimes fails to converge strongly to the homology of F (see 1-53). The purpose of this paper is to determine what the spectral sequence does converge to. An abstract answer (Theorem 1.1) is that the spectral sequence almost always c...
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ژورنال
عنوان ژورنال: Topology
سال: 1974
ISSN: 0040-9383
DOI: 10.1016/0040-9383(74)90018-4