Timeline for In which situations can one see that topological spaces are ill-behaved from the homotopical viewpoint?
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4 events
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Jan 16, 2013 at 14:02 | comment | added | Martin Brandenburg | This example is due to Puppe (Math. Zeitschr. 69 (1958), p. 336). | |
Sep 28, 2011 at 11:00 | comment | added | Todd Trimble | This is another symptom of the fact that $Top$ is not cartesian closed: you need for $\times$ to preserve quotients in its separate arguments to push the argument through, and this condition is equivalent to cartesian closure (of the category of spaces one is working in). | |
Sep 28, 2011 at 8:13 | comment | added | Jonathan Chiche | Thanks. It shows that the Wikipedia entry is false, by the way. | |
Sep 28, 2011 at 2:59 | history | answered | Omar Antolín-Camarena | CC BY-SA 3.0 |