![real analysis - Show that the intersection of all the neighbourhoods of a point $a\in \mathbb{R}$ is the singleton set {a} - Mathematics Stack Exchange real analysis - Show that the intersection of all the neighbourhoods of a point $a\in \mathbb{R}$ is the singleton set {a} - Mathematics Stack Exchange](https://i.stack.imgur.com/xic7r.jpg)
real analysis - Show that the intersection of all the neighbourhoods of a point $a\in \mathbb{R}$ is the singleton set {a} - Mathematics Stack Exchange
![Check whether the following is an example of the singleton set or not? {x : x is an even prime number } Check whether the following is an example of the singleton set or not? {x : x is an even prime number }](https://haygot.s3.amazonaws.com/questions/1847195_1708031_ans_0784f5050b86445c94b65772a0ff9d99.jpeg)
Check whether the following is an example of the singleton set or not? {x : x is an even prime number }
![real analysis - Show that the intersection of all the neighbourhoods of a point $a\in \mathbb{R}$ is the singleton set {a} - Mathematics Stack Exchange real analysis - Show that the intersection of all the neighbourhoods of a point $a\in \mathbb{R}$ is the singleton set {a} - Mathematics Stack Exchange](https://i.stack.imgur.com/a1R2M.jpg)