Lectures related to Open Sets and Interior Points

Explains the concept of Q as a subset of R and their properties.

Covers the definition of open balls, important subsets, interior points, open sets, closed sets, adhesion points, and border points.

Explores inequalities on real numbers, including real intervals and comparison properties.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers absolute value, density of rationals, and real line topology.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.