Infimum and Supremum of Subsets

Related lectures (31)

Page 3 of 4

Covers inf/sup, integral part of real numbers, and density of rational numbers.

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

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

Explores Dedekind cuts in rational numbers, essential for constructing real numbers.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

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

Covers the Archimedean property and the proposition for all x in a set, there exists a positive real number n such that n*x is greater than y.