Timeline for L-spaces without convergent sequences
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Oct 28, 2016 at 22:01 | comment | added | Santi Spadaro | I'm looking for hereditarily Lindelof non-hereditarily separable spaces. A countable space (with any kind of topology) is hereditarily separable. | |
| Oct 28, 2016 at 21:57 | history | edited | Santi Spadaro | CC BY-SA 3.0 |
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| Oct 28, 2016 at 3:56 | comment | added | Sergio Garcia | I have an honest question regarding your first question. Is it implicit that you don't want a trivial example (any countable space with the discrete topology)? Thanks. | |
| Aug 30, 2016 at 23:49 | comment | added | Santi Spadaro | Sure, and you don't even need to start with an L-space. Any X hereditarily Lindelof will do. But of course I'm looking for regular spaces. Thanks for pointing that out! | |
| Aug 30, 2016 at 23:43 | history | edited | Santi Spadaro | CC BY-SA 3.0 |
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| Aug 30, 2016 at 13:18 | comment | added | Taras Banakh | The ideal-modification of any L-space $X$ (i.e., the new topology consists of sets which are open in $X$ modulo the ideal of countable sets) gives a hereditarily Lindelof space with closed discrete countable sets, but this space is not regular, unfortunately. | |
| Aug 25, 2016 at 13:35 | history | asked | Santi Spadaro | CC BY-SA 3.0 |