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Minimal Sullivan Models and Rational Homotopy Groups
Thesis

Minimal Sullivan Models and Rational Homotopy Groups

Wu, Ming-Chun
Masters, 國立清華大學, 數學系
2013

Abstract

沙利文模型 極小沙利文模型 有理同倫群 同倫群 沙利文 Sullivan Model Minimal Sullivan Model Rational Homotopy Group Homotopy Group Sullivan
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 \pi_*(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.

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