You need to write 012X, in case you are confused. The tag you filled in for the captcha is wrong. In class we defined a (co)homologically graded exact couple (of A p n s and C p n s with vertical arrows in the A columns) to be a certain grid of exact sequences, which given some convergence assumptions, allows us to. Beware of the difference between the letter ' O' and the digit ' 0'. I recently learned about spectral sequences (which I am still trying to understand). You can do this by filling in the name of the current tag in the following input field. The first author was partially supported by the Office of Naval Research under contract NONR 266(57) and the National Science Foundation under Grant NSF. In order to prevent bots from posting comments, we would like you to prove that you are human. Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.Īll contributions are licensed under the GNU Free Documentation License. A preview option is available if you wish to see how it works out (just click on the eye in the toolbar). In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). The degrees of these differentials may remind us a bit about how the differentials in spectral sequences shift, and indeed, there is a connection here. ![]() Thus denotes the th step in the filtration of the th term of the complex. We will denote the filtration on the objects by. Multicomplexes can be thought of as a bicomplex with a lot of extra differentials. A filtered complex of is a complex of (see Definition 12.19.1 ). Your email address will not be published. Multicomplexes and their associated spectral sequences. 12.25 Spectral sequences: double complexes
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