Rational Homotopy Theory and Differential Forms

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Focusing on advanced concepts in topology, this revised edition delves into homotopy theory, exploring Postnikov towers and rational homotopy theory. It features a comprehensive analysis of differential forms and de Tham's theorem on simplicial complexes, alongside Sullivan's methods for computing the rational homotopy type. The second edition enhances previous content with updated discussions, including the Hirsch lemma and a natural proof of a Serre spectral sequence result, making it an essential resource for graduate students and researchers in related fields.