Timeline for What properties make $[0,1]$ a good candidate for defining fundamental groups?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2015 at 19:18 | review | Late answers | |||
| Sep 30, 2015 at 7:25 | |||||
| Mar 8, 2013 at 2:25 | comment | added | Keith Penrod | Also, I suppose I'm abusing the words "initial" and "terminal". For every big interval there is a continuous (and order-preserving) map to [0,1] preserving endpoints, but it is not unique. | |
| Mar 8, 2013 at 0:47 | comment | added | Keith Penrod | No, if that's the kind of map you want, no there's no such map. There is an order-preserving map (even that preserve endpoints), and there are plenty of continuous maps, but no continuous map that preserves endpoints, no. | |
| Mar 7, 2013 at 7:12 | comment | added | David Roberts♦ | For example the end-compactified long line? Though I don't think this has an interval (=preserving endpoints) map from the unit interval... | |
| Mar 7, 2013 at 5:25 | history | answered | Keith Penrod | CC BY-SA 3.0 |