Timeline for Infinite connected $T_2$-space with fixed-cardinality fibers
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 9, 2020 at 9:04 | comment | added | Mathieu Baillif | For preimages of continuum cardinality, take the projection of a space (cylinder, rather) filling curve. For countable preimages, a function as in the answer to this question: math.stackexchange.com/questions/1599921/… | |
| Jan 9, 2020 at 7:10 | comment | added | Tri | What is the proof for a circle when alpha is infinite? | |
| Jan 9, 2020 at 6:54 | comment | added | Dominic van der Zypen | Wow that's amazing @MathieuBaillif - thanks! | |
| Jan 9, 2020 at 0:16 | comment | added | Mathieu Baillif | If the continuum hypothesis CH is true, then the circle is such a space. If CH is not true, then the circle is not such a space (a closed subset of the circle is either countable or has cardinality the continuum, any cardinal in between cannot be realized as the preimage of a point). | |
| Jan 8, 2020 at 15:58 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |