Exemple: Infimum and Supremum

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Properties of Real Numbers: Bounds, Density, Absolute Value

Covers the properties of real numbers, including bounds, density, and absolute value.

Introduction to Real Numbers and Their Properties

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

Real Numbers: Axioms and Bounds

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Supremum

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

Real Numbers: Order and Completeness

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.

Real Numbers: Definitions and Properties

Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.

Real Number Sequences: Introduction

Introduces real number sequences, limits, and their properties.

Quiz on Chapters 1-3: Solutions to TF questions

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

Real Numbers: Properties and Bounds

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

Boundary Analysis

Explores boundaries in sets, defining them as points not well separated from the set or its complement.