That is what I suspected.

]]>Thanks for the alert. I have fixed it now (here), both the original diagram as well as the fiber sequence afterwards, exchanging Bs for Cs.

I suppose somebody saw the typo, kindly went to fix it, but then didn’t exactly.

]]>An Anonymous has made changes to fiber sequence in the section on Mayer-Vietoris. I do not understand their point. They did change something to $A\times C$, but from the pullback this should be $A\times B$ and … in other words the entry seems to be a mess at this point (glancing at it). The diagram is wrong as well. There are several ways to fix it, but I am not sure which is intended.

]]>The last reference in the fiber sequence entry has now been published. I have updated the entry. The previous title at this point was wrong by the way. It did not correspond to the paper to which the link refered. I hope this is now correct.

]]>added an Examples section on how equivalences are characterized by having contractible homotopy fibers

]]>if you think about it, the proof I just mentioned is the full-fledged version of the proof that we sketched previously in the section In terms of sections at twisted cohomology. I have added some more sentences to this effect now.

]]>added a detailed proof of how homotopy fibers of oo-functor categories are computed in terms of over-categories.

]]>added a new Examples-section Integral versus real cohomology to fiber sequence

(and renamed the original fibration sequence and made it a redirect to that – but the cache bug is in the way,as usual).

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