Timeline for Which topological properties are preserved under taking box products?

8 events

when toggle format	what		by	license	comment
Jun 22, 2015 at 6:58	history	edited	Dominic van der Zypen	CC BY-SA 3.0	added 126 characters in body
Jun 22, 2015 at 6:57	comment	added	Dominic van der Zypen		Oh - that's right. I leave this (wrong) answer for "instructive purposes" and mark it as such.
Jun 20, 2015 at 21:22	comment	added	Joseph Van Name		Dominic van der Zypen. The mistake began when you said "we can assume that $N((x_{i})_{i\in I})=\prod_{i\in I}N_{i}(x_{i})$." Here the $N_{i}(x_{i})$ depends on the entire function $(x_{i})_{i\in I}$ instead of the individual point $x_{i}$. Even though the notion of a $D$-space is a covering property like paracompactness, the notion of a $D$-space is hardly preserved under any constructions and is difficult to work with.
Jun 20, 2015 at 6:59	history	edited	Dominic van der Zypen	CC BY-SA 3.0	added 78 characters in body
Jun 20, 2015 at 6:52	history	edited	Dominic van der Zypen	CC BY-SA 3.0	added 591 characters in body
Jun 20, 2015 at 6:52	comment	added	Dominic van der Zypen		OK interesting... so I assume there is a mistake above in the argument?
Jun 19, 2015 at 21:04	comment	added	Joseph Van Name		Dominic van der Zypen. That same paper that you referenced claims that not even finite products of $D$-spaces are $D$-spaces. In general, the notion of a $D$-space is not very well behaved.
Jun 19, 2015 at 7:20	history	answered	Dominic van der Zypen	CC BY-SA 3.0