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Infinity structures and higher products in rational homotopy theory
Moreno-Fernandez, Jose Manuel(UMA Editorial, 2018)
Rational homotopy theory classically studies the torsion free phenomena in the homotopy category of topological spaces and continuous maps. Its success is mainly due to the existence of relatively simple algebraic models ... -
The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
Moreno-Fernandez, Jose Manuel(Springer, 2021-09-20)
We give a construction of the universal enveloping A∞ algebra of a given L∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore ...