Homotopy Spectral Sequences
نویسنده
چکیده
In homotopy theory, exact sequences and spectral sequences consist of groups and pointed sets, linked by actions. We prove that the theory of such exact and spectral sequences can be established in a categorical setting which is based on the existence of kernels and cokernels with respect to an assigned ideal of null morphisms, a generalisation of abelian categories and Puppe-exact categories.
منابع مشابه
Multiplicative Structures on Homotopy Spectral Sequences, Part I
A tower of homotopy fiber sequences gives rise to a spectral sequence on homotopy groups. In modern times such towers are ubiquitous, and most of the familiar spectral sequences in topology can be constructed in this way. A pairing of towers W∗ ∧X∗ → Y∗ consists of maps Wm ∧Xn → Ym+n which commute (on-the-nose) with the maps in the towers. It is a piece of folklore that a pairing of towers give...
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