subject
Mathematics, 07.02.2021 08:40 TamB01

Let X be a topological space and let C and U be subsets of X. Define C to be closed if C contains all its limit points and define U to be open if every point p ∈ U has a neighborhood which is contained in U. Assuming these definitions show that the following statements are equivalent for a subset S of X. i) S is closed in X; ii) X – S is open in X; iii) S = [S].

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 18:10
Television sizes are based on the length of the diagonal of the television's rectangular screen. so, for example, a 70-inch television is a television having a diagonal screen length of 70 inches. if a 70 inch television's diagonal forms a 29°angle with the base of the screen, what is the vertical height (1) of the screen to the nearest inch? 70 inhin
Answers: 3
question
Mathematics, 21.06.2019 19:00
Solve for n? [tex]z = \frac{3}{4} mn[/tex]
Answers: 1
question
Mathematics, 21.06.2019 23:30
Astraight water slide is 175 feet above ground and is 200 feet long. what is the angle of depression to the bottom of the slide?
Answers: 1
question
Mathematics, 22.06.2019 00:00
David leaves his house to go to school. he walks 200 meters west and 300 meters north. how far is david from his original starting point?
Answers: 1
You know the right answer?
Let X be a topological space and let C and U be subsets of X. Define C to be closed if C contains al...
Questions
question
Biology, 31.01.2021 01:00
question
Mathematics, 31.01.2021 01:00
question
Mathematics, 31.01.2021 01:00
Questions on the website: 13722363