Timeline for what is the image of $\partial( 1_{S^n})$ for the exact sequence for the fibration $X \to E \to S^n$
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2011 at 2:35 | comment | added | Jino | John: Tkanks John. I will study them. | |
| Mar 28, 2011 at 17:03 | comment | added | John Klein | See page 22 Hatcher's online $K$-book for a description of the clutching construction in the vector bundle case. The case of a fibration is basically the same. For the fibration case, see Brayton Gray's paper, On the iterated suspension, Topology ** 27 ** (1988), no. 3, 301-310. | |
| Mar 28, 2011 at 6:05 | comment | added | Jino | John: Thanks John. I have some questions for your answer. First, two fibrations $F \to E \to \B$ and $F^prime \to E^prime \to \B^prime$ are equivalent means that $F=F^prime$, $B=B^prime$ and there is a homotopy equivalence $f:E \to E^prime$? Second, how prove the fact that any fibration is fiber homotopy equivalent by the "clutching construction". If a good referece, please recommend. | |
| Mar 27, 2011 at 16:41 | history | answered | John Klein | CC BY-SA 2.5 |