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- W165166746 abstract "In this chapter we generalize two well-known results about towers of fibrations: (i)We will show that, for a (pointed) tower of fibrations {Xn}, the short exact sequence$$* to {mathop {lim }limits_ leftarrow ^1}{pi _{i + 1}}{X_n} to {pi _i}mathop {lim }limits_ leftarrow {X_n} to mathop {lim }limits_ leftarrow {pi _i}{X_n} to *$$which is “well known” for i ≥ 1, also exists for i = 0, if one uses a suitable notion of ({mathop {lim }limits_ leftarrow ^1}) for not necessarily abelian groups.(ii)We will generalize the usual homotopy spectral sequence of a (pointed) tower of fibrations, to an “extended” homotopy spectral sequence, which in dimension 1 consists of (possibly non-abelian) groups, and in dimension 0 of pointed sets, acted on by the groups is dimension 1." @default.
- W165166746 created "2016-06-24" @default.
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- W165166746 date "1972-01-01" @default.
- W165166746 modified "2023-09-23" @default.
- W165166746 title "Towers of fibrations" @default.
- W165166746 doi "https://doi.org/10.1007/978-3-540-38117-4_9" @default.
- W165166746 hasPublicationYear "1972" @default.
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