Timeline for $|\mathsf{RO}(X)|$ vs. $|\tau_X|$ for Tychonoff spaces
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 28, 2022 at 15:56 | vote | accept | Peluso | ||
| Feb 26, 2022 at 21:32 | comment | added | Peluso | How curious, not even one of the natural weakenings of the statement is true. Furthermore, if you weaken "perfect" to "countable pseudocharacter" the statement does not hold either: the square of Alexandroff-Urysohn double arrow, $\mathbb{A}^{2}$, is a compact, $T_4$ and first countable space with $|\mathsf{RO}(\mathbb{A}^{2})|<|\tau_{\mathbb{A}^{2}}|$. Perhaps there are other stronger and different combinations of properties that do imply the desired equality, we just don't know them yet. | |
| Feb 26, 2022 at 14:47 | history | edited | Anonymous | CC BY-SA 4.0 |
added 321 characters in body
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| Feb 26, 2022 at 14:37 | history | answered | Anonymous | CC BY-SA 4.0 |