MULTICOMPLEXES AND SPECTRAL SEQUENCES

被引：5
|
作者：
Hurtubise, David E. [1 ]
机构：
[1] Penn State Altoona, Dept Math & Stat, Altoona, PA 16601 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2010年 / 9卷 / 04期
关键词：
Multicomplex; bicomplex; double complex; filtered chain complex; spectral sequence;
D O I：
10.1142/S0219498810004087
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we present some algebraic examples of multicomplexes whose differentials differ from those in the spectral sequences associated to the multicomplexes. The motivation for constructing examples showing the algebraic distinction between a multicomplex and its associated spectral sequence comes from the author's work on Morse-Bott homology with A. Banyaga [A. Banyaga and D. E. Hurtubise, Morse-Bott homology, Trans. Amer. Math. Soc. (to appear), arXiv:math/0612316v2].
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页码：519 / 530
页数：12
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