Lectures related to Universal Covering: Basics

Explores the equivalence of inequalities to determine the least upper bound of a set.

Explores the concept of real numbers through decimal notation and fraction representation.

Explores the concept of limits of sequences and their convergence towards infinity or negative infinity.

Explores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.

Explains the concept of infimum in real numbers and its properties.

Explores the lifting criterion for maps between path-connected and locally path-connected spaces.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Covers the existence of real numbers and equivalence classes of Cauchy sequences.

Explains interior points, convergence of sequences, and the dense property in real numbers.

Covers constructing real numbers through decimal expansion and the concept of discrete and continuous random variables.