This learn monograph is a close account with entire proofs of rational homotopy conception for normal non-simply hooked up areas, in keeping with the minimum types brought by means of Sullivan in his unique seminal article. a lot of the content material involves new effects, together with generalizations of identified ends up in the easily attached case. The monograph additionally contains an extended model of lately released effects in regards to the development and constitution of the rational homotopy teams of finite dimensional CW complexes, and concludes with a couple of open questions.
This monograph is a sequel to the publication Rational Homotopy conception [RHT], released through Springer in 2001, yet is self-contained other than purely that a few effects from [RHT] are easily quoted with out proof.
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