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nLab: Homological functors

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  1. Hi,

    I'd love to see a bit more details at the "homological functor" page. I'm not well-versed in infinity-language, but it seems to me that the examples there cover a variety of classical ones, like: stable homotopy (first example), chain homology (third example), and I guess that for a spectrum E, E-homology on spaces or on spectra also fits there somehow?

    Thanks!
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 10th 2016
    • (edited May 10th 2016)

    Yes, generalized homology theories are examples. For a little exposition that relates the traditional way of stating this to the ∞\infty-categorical way see here (go down up to prop. 1).

  3. Thanks for the link! In definition 4, isn't C lacking a point in item 1?
    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 10th 2016

    Thanks, yes, there was a pointedness-symbol missing. I have fixed it. Thanks.

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