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nLab > Latest Changes: suspension type

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    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 5th 2023
    • (edited Jan 5th 2023)

    promoted the characterization of suspension as a pushout: from the last item of the list of Examples to the top of the Idea- and Definition-section

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 5th 2023

    In the Definition-section (here) I have

    added an illustrating graphics (the same that i just added at suspension, but with the labels matched to the inductive generators used here)

    Also made some minor adjustments to the text:

    Since this here is about un-reduced suspension, it seems a good idea to denote it by S(−)\mathrm{S}(-) instead of by Σ(−)\Sigma(-).

    (This is more in line with tradition, more suggestive of the key fact S n=S n(S 0)S^n \,=\, \mathrm{S}^n(S^0), and, last not least, avoids the bad notational clash with the traditional type theoretic notation for dependent sums.)

    diff, v9, current

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