2023/07/18 by Kadeishvili, Tornike
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2307.10300
In these lectures we present our minimality theorem by which in cohomology of a topological space appear multioperations which turn it ot Stasheff A(∞) algebra. This rich structure carries more information than just the structure of cohomology algebra, particularly it allows to define cohomologies of the loop space. We present also the notion of C(∞) algebra and the commutatitive version of the minimality theorem by which in rational cohomology algebra appear multioperations which form a C(∞) algebra structure which completely determines the rational homotopy type.