Lectures related to Architecture investigation

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Covers the concept of Galoisian coating and actions that are totally discontinuous.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Covers the concept of norms in Rn and their applications.

Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.

Covers spaces, homology, chain groups, and abelianization in CW complexes and maps.

Covers fundamental concepts of space, topology, groups, and homology theory.

Explores permutations, signature, and alternating multilinear forms in vectors.