Definition talk:Interior Point (Topology)/Definition 3

The change made this even worse...

I don't think any correct definition of Interior Point can be given based on subspace topology. The problem is, the subspace is defined in order to make sure that every point is in some open set (in order to satisfy Open Set Axiom $\paren {\text O 3 }$: Underlying Set is Element of Topology). That means that no useful information can be derived by examining which open sets (of the subspace) a given point is a part of.

With the most recent change, we're not even talking about the right set anymore... --CircuitCraft (talk) 20:19, 13 October 2023 (UTC)

Nope, I'm lost on this. Worded now exactly as in the dictionary I got this from, which I am going to flag up not as a 3rd definition so much as a mistake. I'll sort this out. Sorry for the imprecision and confusion here. --prime mover (talk) 07:00, 14 October 2023 (UTC)

Note that this definition is now precisely the same as Definition 2. --CircuitCraft (talk) 17:29, 18 October 2023 (UTC)

Gone back to what it was in the first place. --prime mover (talk) 17:59, 18 October 2023 (UTC)