- #1
mr.tea
- 102
- 12
Hi,t
I am studying topology at the moment. I have seen that some authors define the neighborhood of a point using inclusion of an open set, while others define the term as open set that contains the point.
In most of the theory I have seen so far, the latter is more convenient to use. Why is there a distinction between the definitions, and what are the advantages of the definition using the inclusion of an open set?
Thank you.
I am studying topology at the moment. I have seen that some authors define the neighborhood of a point using inclusion of an open set, while others define the term as open set that contains the point.
In most of the theory I have seen so far, the latter is more convenient to use. Why is there a distinction between the definitions, and what are the advantages of the definition using the inclusion of an open set?
Thank you.