Rational Homotopy Theory and Differential Forms

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<p>This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham¿s theorem on simplicial complexes. In addition, Sullivan¿s results on computing the rational homotopy type from forms is presented.  </p><p><p>New to the Second Edition: </p><p>*Fully-revised appendices including an expanded discussion of the Hirsch lemma</p><p>*Presentation of a natural proof of a Serre spectral sequence result </p><p>*Updated content throughout the book, reflecting advances in the area of homotopy theory</p><p><p>With its modern approach and timely revisions, this second edition of <i>Rational Homotopy Theory and Differential Forms</i> will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory. </p>

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