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- W2016122451 abstract "Chain functors A*, B* have been introduced for calculating generalized homology theories by using chains and cycles, as one is doing for ordinary homology theories by means of chain complexes. Like chain complexes these chain functors form a category ℭh displaying interesting properties by themselves. The present paper emphasizes more the algebraic aspescts of this category ℭh. Although not every morphism f ∈ ℭh(A*, B*) in the category of chain functors admits a kernel or a cokernel, it turns out that: (1) all cofibrations have a cokernel, (2) all regular fibrations have a kernel, (3) the pushout of a cofibration along a cofibration exists in ℭh, respectively the dual statement for fibrations, (4) there are interesting results about exact sequences involving (co-)fibrations." @default.
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- W2016122451 date "2006-08-01" @default.
- W2016122451 modified "2023-10-18" @default.
- W2016122451 title "THE EXISTENCE OF CERTAIN (CO-)LIMITS IN THE CATEGORY OF CHAIN FUNCTORS" @default.
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- W2016122451 doi "https://doi.org/10.1142/s0219498806001788" @default.
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