Totally bounded space

Related lectures (32)

Page 3 of 4

Covers the Prokhorov Theorem in Optimal Transport, emphasizing support sets and optimality conditions.

Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.

Explores the Bolzano-Weierstrass theorem on bounded sequences and convergent subsequences.

Explores Newtonian potential in bounded domains, discussing its conditions and properties.

Covers Minbowski's Theorem on Diophantine Approximation and Gram-Schmidt orthogonalization.

Covers the extension of functional calculus to simple functions and the concept of *-homomorphism.

Explores continuous functions on compact sets, discussing boundedness and extremum values.

Covers the convergence criteria for sequences, focusing on the definition of convergence and the properties of convergent sequences.

Explores the convergence of sequences through examples and theorems.

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.