Lectures related to Renormalization of Hénon maps

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.

Explains the parametric equations of surfaces of revolution generated by curves in space.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores adhesion, convergence, closed sets, compact subsets, and examples of subsets in R^n.

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.