Infimum and Supremum of Subsets

Related lectures (31)

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Introduces real numbers, their properties, and their significance in analysis.

Explores real numbers' properties, bounds, limits, and density in the number line.

Covers the basics of real analysis, including functions, limits, and max/min functions.

Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.

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

Illustrates the calculation of infimum and supremum for a set of elements.

Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.