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This lecture covers the concept of Steenrod Squares, focusing on the integral Bockstein homomorphism and the construction of Steenrod squares. It explains the sequence of cohomology operations, the suspension isomorphism, and the cup product in cochains. The lecture delves into the properties of Steenrod squares, Cartan formula, and their applications in stable cohomology operations. It also discusses the Steenrod algebra, Adem's relations, and the commutativity of the cup product in certain spaces.