這篇論文釐清了如何使用一個單連通空間X的上同調代數計算X的"唯一"的極小沙利文模型進而計算X的有理同倫群。此外，一個在有理同倫型與最小沙利文代數這兩個範疇之間的一一對映被建立了。

This monograph clarfies how to use the cohomology algebra of a simply connected space X to compute the "unique" minimal Sullivan model of X and to compute the rational homotopy groups  i_*(X)\otimes Q of X via this unique minimal model. Moreover, a one-one correspondence between a category of rational homotopy types and a category of minimal Sullivan algebras is established.

1 Introduction 1
2 Differential Graded Algebra (DGA) 3
3 A_{PL}(X) and its relation with C(X) 5
4 Existence of Sullivan Model and Minimal Sullivan Model 9
5 Uniqueness of Minimal Sullivan Model 14
6 Examples 18
7 Reading  i_*(X)\otimes Q from its Minimal Sullivan Model 20
8 One-One Correspondence between Rational Homotopy Types and Minimal Sullivan Algebras 25

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