- #1

mr.tea

- 102

- 12

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.