余単体的空間の homology spectral sequence の代表としては, cobar型の Eilenberg-Moore spectral sequence が挙げられる。その構成には様々な方法があるが, 代表的なのは以下のものだろう。

収束性については, 色々難しい問題がある。Jeanneret と Osse の [JO99] では, Larry Smith の構成に基づいて議論されている。 Tilman Bauer の [Bau] は, cosimplicial space の homology spectral sequence として一般的に議論されている点で, Dwyer の結果の延長にあたるものと言えるだろう。



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