Timeline for Is every T0 2nd countable space the quotient of a separable metric space?
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| Feb 3, 2014 at 17:43 | history | edited | Paul Fabel | CC BY-SA 3.0 |
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| Feb 3, 2014 at 12:01 | history | edited | Paul Fabel | CC BY-SA 3.0 |
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| Feb 2, 2014 at 21:45 | comment | added | Andrej Bauer | But it is well known by those who studied T0 qcb spaces that they are quotients of subspaces of the Baire spaces. Have you looked at Alex Simpson and Mathias Menni paper on largest common subccc of equilogical spaces and topological spaces? | |
| Feb 2, 2014 at 17:13 | vote | accept | Paul Fabel | ||
| Feb 1, 2014 at 8:29 | answer | added | Andrej Bauer | timeline score: 8 | |
| Jan 31, 2014 at 15:15 | answer | added | François G. Dorais | timeline score: 7 | |
| Jan 21, 2014 at 18:17 | answer | added | Paul Fabel | timeline score: 1 | |
| Jan 20, 2014 at 2:14 | comment | added | Paul Fabel | homepages.inf.ed.ac.uk/als/Research/Sources/tcctd.pdf also offers various characterization of qcb spaces. | |
| Jan 20, 2014 at 2:08 | comment | added | Paul Fabel | The relevance of the question is a `yes' answer would characterize T_0 qcb spaces (quotients of 2nd countable spaces), as quotients of separable metric spaces, since sequential spaces are precisely the quotients of a metrizable spaces, and since 2nd countable spaces are sequential, as noted in the question. Basic properties of qcb spaces are not obvious: mathematik.tu-darmstadt.de/~streicher/GrSt.pdf. | |
| Jan 20, 2014 at 1:15 | comment | added | Paul Fabel | Francois, was hoping you'd see the question! Thanks! | |
| Jan 20, 2014 at 0:09 | comment | added | François G. Dorais | Have a look at the results leading to the proof of Theorem 3.8 in my paper with Carl Mummert arxiv.org/abs/0907.4126 One of the underlying goals of that paper was to keep the size of bases in check, though the statements of our results don't always make that explicit. I think our methods give a positive answer in the case of $T_1$ spaces. I might be able to check it out sometime in the next two weeks but you might get around to it faster. | |
| Jan 19, 2014 at 20:27 | history | asked | Paul Fabel | CC BY-SA 3.0 |