Timeline for Is the product of a discretely Lindelöf space with [0,1] discretely Lindelöf ?
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| May 20, 2015 at 20:33 | comment | added | Mathieu Baillif | Hi Santi, thanks for your comment. I actually looked at this paper some time ago but had completely forgotten this part. I'll have a closer look when I have some time (in a couple of weeks, unfortunately). | |
| May 20, 2015 at 17:36 | comment | added | Santi Spadaro | Hi Mathieu, you might be interested in this paper by Peng and Tall [topology.auburn.edu/tp/reprints/v32/tp32018.pdf] where they make the following two observations: 1) let X be discretely Lindelof space where closures of Lindelof subspaces are Lindelof. Then closures of sigma-discrete subspaces are Lindelof. 2) It follows from the Eisworth-Nyikos trichotomy (a consequence of PFA) that every locally compact normal space where closures of sigma-discrete subspaces are Lindelof is actually Lindelof. | |
| Dec 24, 2012 at 8:13 | history | edited | Henno Brandsma | CC BY-SA 3.0 |
typo fix
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| Dec 23, 2012 at 21:36 | history | asked | Mathieu Baillif | CC BY-SA 3.0 |