27. Theorem : Let S be a subset of ℝ . Then interior of S is an Open Set .

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28. Theorem : Let S be a subset of ℝ . Then int S is the largest Open Set contained in S . 28. Theorem : Let S be a subset of ℝ . Then int S is the largest Open Set contained in S .
20. Theorem : Let S be a subset of ℝ .Then S is an open set iff S= S⁰ . 20. Theorem : Let S be a subset of ℝ .Then S is an open set iff S= S⁰ .
Let S⊂ℝ. Then int S is the largest open set contained in S #bscmath Let S⊂ℝ. Then int S is the largest open set contained in S #bscmath
Metric Spaces | Lecture 41 | Set of Interior Points is an Open Set Metric Spaces | Lecture 41 | Set of Interior Points is an Open Set
Metric Spaces | Lecture 40 | Interior Points Metric Spaces | Lecture 40 | Interior Points
Metric Spaces | Lecture 42 | Set A is Open iff A= Set of Interior Points of A Metric Spaces | Lecture 42 | Set A is Open iff A= Set of Interior Points of A
41. Theorem : Let F be a Closed set in ℝ . Then the Complement of F is an Open Set in ℝ . 41. Theorem : Let F be a Closed set in ℝ . Then the Complement of F is an Open Set in ℝ .
Metric Spaces | Lecture 43 | If A is subset of set B then A Interior is subset of B Interior Metric Spaces | Lecture 43 | If A is subset of set B then A Interior is subset of B Interior