Timeline for Is every $S^3$ block bundle over $S^4$ a fiber bundle?
Current License: CC BY-SA 3.0
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| Nov 6, 2020 at 20:02 | comment | added | Oscar Randal-Williams | @Connor: Yes they are. One way to see this is to show they are both homotopy equivalent to the total space of the concordance, and for that you can use that the fibre and homotopy fibre of a block bundle over any vertex are homotopy equivalent, which is proved in this paper. | |
| Nov 6, 2020 at 14:42 | comment | added | Connor Malin | Thanks for this paper Oscar; it has the clearest introduction to block bundles I've come across. Here is a simple question I haven't been able to puzzle out: are the total spaces of two concordant block bundles homotopy equivalent? | |
| Jan 21, 2015 at 22:20 | history | answered | Oscar Randal-Williams | CC BY-SA 3.0 |