On the formality of $K-1$ connected compact manifolds of dimension less than or equal to $4K-2$
On the formality of $K-1$ connected compact manifolds of dimension less than or equal to $4K-2$
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关于维度小于或等于$4K-2$的$K-1$连通紧流形的形式
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发表时间：
1979
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影响因子：
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通讯作者：
T. J. Miller
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作者：
T. J. Miller
在下面的所有内容中，系数将被假定在有理数Q的域中。所有的空间至少是单连通的和有限型的。微分分次代数、余代数和李代数的范畴将分别用DGA、DGC和DGLA表示，这些范畴中的对象将被称为代数、余代数和李代数。代数和余代数将被假定为结合的、余互变的和同调连通的。我要感谢裁判，他给了我很多有用的建议，让我的演讲更清晰、更流畅。以下概念是由Sullivan [2] [3]、Neisendorfer [5] [6]和Baues-Lemaire [1]提出的。
In all that follows, coefficients will be assumed to be in the field of rational numbers Q. All spaces will be at least simply connected and of finite type. The categories of differential graded algebras, coalgebras, and Lie algebras will be denoted by DGA, DGC, and DGLA, respectively, and objects in these categories will be referred to as algebras, coalgebras, and Lie algebras. Algebras and coalgebras will be assumed to be associative, cocummutativ.e, and homologically connected. I owe a debt of gratitude to the referee for many helpful suggestions in clarifying and streamling the presentation. The following notions are due to Sullivan [2] [3], Neisendorfer [5] [6], and Baues-Lemaire [1].