Timeline for On the openness of the map $X^I \to X \times X.$
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2019 at 13:30 | comment | added | David Roberts♦ | Maybe. I mean $X$ admits a neighbourhood basis at each point, where for each nhd $N$ in that basis, and each pair of points $x,y\in N$, there is a path $[0,1]\to X$ from $x$ to $y$. This condition is apparently equivalent to the space of path components of $X$ (topologised as a quotient of $X$) being discrete. | |
| Jul 19, 2019 at 13:16 | comment | added | Mark Grant | You may be right, there are so many conflicting usages around. But is your definition is missing some words? | |
| Jul 19, 2019 at 10:23 | comment | added | David Roberts♦ | I think what you call 'semi-locally path-connected' is usually called 'locally path-connected im Kleinen', and I've seen semi-locally path-connected refer to 'every nhd U contains a nhd V such that every pair of points in joined by a path in X', which is genuinely weaker (take any path-connected, but not locally path-connected space...) | |
| Jun 22, 2013 at 12:26 | vote | accept | Simon Henry | ||
| Apr 4, 2013 at 14:44 | vote | accept | Simon Henry | ||
| Apr 4, 2013 at 14:44 | |||||
| Apr 4, 2013 at 13:10 | history | edited | Mark Grant | CC BY-SA 3.0 |
fixed typos
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| Apr 4, 2013 at 11:29 | history | answered | Mark Grant | CC BY-SA 3.0 |