Timeline for Which spaces have enough curves
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Jun 16, 2016 at 11:04 | comment | added | user5810 | Note that "first-countable implies sequential" and (2) are each equivalent to countable choice. (For the quote, let each $Y_n$ be the product of the first $n$ $X$s, let the [basic neighborhoods](en.wikipedia.org/wiki/Neighbourhood_system) of $\infty$ be $Y_n\cup Y_{n+1}\cup Y_{n+2}...$ , and let everything else in $Y_0\cup Y_1\cup ...$ be isolated. For (2), disjoint union that with the natural numbers, and for each n, put in [a length-1/(2$^n$) path from n to n+1] for each element of $Y_n$.) | |
| Jun 16, 2016 at 9:14 | history | answered | js21 | CC BY-SA 3.0 |