Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with fibration
Search options not deleted
user 51164
For questions about or involving fibrations which are maps which satisfy the homotopy lifting property for all spaces.
4
votes
0
answers
111
views
Is the pushforward of an exponentiable fibration along an exponentiable fibration again expo...
The notion of exponentiable fibration is a model independent version of that of flat inner fibration studied in section B.3 of Lurie's Higher Algebra (see also Lemma 1.10 of Ayala-Francis https://arxiv.org … For context, note that in the above situation, if $q$ is a cocartesian fibration then $q_*$ sends cartesian fibrations to cartesian fibrations, and dually if $q$ is a cartesian fibration then $q_*$ preserves …
- 9,491
7
votes
Accepted
About fibrations with fibre Eilenberg-MacLane spaces
However, there exists fibrations with fibers ${\rm K}(M,n)$ for $n \geq 2$ which do not admit a section, such as the quaternionic Hopf fibration $S^7 \to S^4$. … Edit:
As pointed in the remarks below, the quaternionic Hopf fibration is indeed not a counter-example for what the OP is asking since its fibers are $S^3$, which is not an Eilenberg-MacLane space. …
- 9,491