Timeline for If $(X,\tau)$ has more than $1$ point and is $T_2$ and connected, do we have $|X| =|\tau|$?
Current License: CC BY-SA 4.0
3 events
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| May 21, 2018 at 17:23 | comment | added | Ashutosh | No problem. The following may be interesting: (1) Does the density topology on $\mathbb{R}^n$ (for $n \geq 2$) preserve old connected sets? (2) If not, is there another topoogy $\tau$ on $\mathbb{R}^n$ ($n \geq 2$) that refines the usual topology, has size $2^{\mathfrak{c}}$ and preserves old connected sets. | |
| May 21, 2018 at 17:12 | comment | added | Dominic van der Zypen | Very nice explanation - thanks Ashutosh! | |
| May 21, 2018 at 17:08 | history | answered | Ashutosh | CC BY-SA 4.0 |