>>12892721You're not typing english. It's impossible to understand what you're saying because your posts are incoherent.
>It has to intersect for every open neighborhood of PDo you mean "it has to intersect every open neighborhood of P" or should there be something between "intersect" and "for"?
>every open neighborhood intersecting with the others not intersecting...what the fuck does this mean? what others? the other components? The other open neighborhoods? Why does this make the intersection nonempty?
If you want coherent answers, write coherent questions.
Assuming I have any clue what you mean, it's not true that the "intersection is never empty even if one index has overlap." That's not true at all. You're not reading the basis for the product topology correctly.
