Extension of Fields: Norm and Valuation

Related lectures (32)

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Covers the concept of matroids, focusing on matroid intersection and the properties of subsets of a ground set.

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

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Explores sub/super harmonic functions and their applications in a theoretical context.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores the extension and properties of multiple integrals for continuous functions on rectangles.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.