In this short paper with a few of page (but a lot of language mistake), I want to introduce the theory of spectral sequence briefly and quickly. I would like to conduct a beautiful process to build them and give comprehensive and clear proof of the theorem. Also, of course, selected and remarkable application are mentioned and proved. Through this paper, I hope that readers can get the motivation of the spectral sequence.
在这篇只有很少页面的简短论文中，我想简要而快速地介绍谱序列理论。我想采用更加漂亮建立过程，并给出定理的足够全面和清晰的证明。并且，一些卓越的应用也被提及和证明了。 通过本文，我希望读者能够获知谱序列的动机。
一不小心就忙到了这么晚，之后应该早睡。另外今天是Atiyah要宣布证明的日子，祝他好运！