Vous l’avez sûrement remarqué : notre boutique se pare d’un tout nouveau look frais et moderne ! Notre nom, logo et site ont été repensés, mais rassurez-vous : nous restons la même librairie et papeterie que vous connaissez et appréciez.
Curieux·euse de découvrir l’histoire derrière notre nouveau style ?
Since the birth of rational homotopy theory, the possibility of extending the Quillen approach - in terms of Lie algebras - to a more general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community. Despite the clear Eckmann-Hilton duality between Quillen and Sullivan treatments, the simplicity in the realization of algebraic structures in the latter contrasts with the complexity required by the Lie algebra version.
In this book, the authors develop new tools to address these problems. Working with complete Lie algebras, they construct, in a combinatorial way, a cosimplicial Lie model for the standard simplices. This is a key object, which allows the definition of a new model and realization functors that turn out to be homotopically equivalent to the classical Quillen functors in the simply connected case. With this, the authors open new avenues for solving old problems and posing new questions.
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