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Lecture
Open and Closed Sets
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Related lectures (31)
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Interior Points and Closure in Real Analysis
Explores interior points, closures, and set properties in real analysis.
Properties of Real Numbers
Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
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 Analysis: Basics and Sequences
Introduces real analysis basics, including functions, sequences, limits, and set properties in R.
Intervals: Real Numbers
Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.
Boundary Analysis
Explores boundaries in sets, defining them as points not well separated from the set or its complement.
Open Balls and Topology in Euclidean Spaces
Covers open balls in Euclidean spaces, their properties, and their significance in topology.
Point Interior and Boundary in Real Numbers
Explores point interior and boundary concepts in real numbers, covering definitions and implications.
Real Numbers: Absolute Value and Density
Covers absolute value, density of rationals, and real line topology.
Inequalities on Real Numbers
Explores inequalities on real numbers, including real intervals and comparison properties.
