Timeline for Relation between two different definitions for relative sequential compactness
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 7 at 15:01 | comment | added | Dominic van der Zypen | Sorry @BoazTsaban, I have seen your request "a little later" (8 years), will write something on that soon, hopefully | |
| May 7, 2016 at 21:03 | comment | added | Boaz Tsaban | Could you add a proof that for FU spaces, (2) implies (1)? | |
| Jan 8, 2016 at 10:06 | comment | added | yada | Yes, this property is also satisfied for Fréchet-Urysohn spaces (a space $X$ is Fréchet-Urysohn if the sequential closure of any subset $A \subseteq X$ coincides with its closure $\overline{A}$). But does it follow from $1 \Leftrightarrow 2$ that $X$ is Fréchet-Urysohn? Recall that, an infinite-dimensional Banach space with the weak topology is not first-countable and I am not sure whether it is Fréchet-Urysohn but the fact $1 \Leftrightarrow 2$ seems to be still satisfied there. | |
| Jan 8, 2016 at 8:06 | history | answered | Dominic van der Zypen | CC BY-SA 3.0 |