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Natural factorizations and the Kan extension of cohomology theories. (English) Zbl 0368.55006


MSC:

55N40 Axioms for homology theory and uniqueness theorems in algebraic topology
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
55T25 Generalized cohomology and spectral sequences in algebraic topology
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References:

[1] 1 Brown , E.H. , Cohomology theories , Ann. of Math. 75 ( 1962 ), 467 - 484 . MR 138104 | Zbl 0101.40603 · Zbl 0101.40603 · doi:10.2307/1970209
[2] 2 Deleanu , A. and Hilton , P. , On Kan extensions of cohomology theories and Serre classes of groups , Fund. Math. 73 ( 1971 ), 143 - 165 . MR 295337 | Zbl 0226.55011 · Zbl 0226.55011
[3] 3 Deleanu , A. and Hilton , P. , On the generalized Čech construction of cohomology theories , Vol. IV Symp. Math. , Istituto Naz. di Alta Mate ., Rome . Zbl 0245.55002 · Zbl 0245.55002
[4] 4 Hilton P. , General cohomology theory and K-theory , London Math. Soc. Lecture Notes , Series 1 , Cambridge Univ. Press , 1971 . MR 288757
[5] 5 Mac Lane , S. , Categories for the working mathematician , Grad. Texts in Math. 5 , Springer , 1971 . MR 354798 | Zbl 0232.18001 · Zbl 0232.18001
[6] 6 Schubert , H. , Categories , Springer , 1972 . MR 349793 | Zbl 0253.18002 · Zbl 0253.18002
[7] 7 Whitehead , G.W. , Generalized homology theories , Trans. Amer. Math. Soc. 102 ( 1962 ), 227 - 283 . MR 137117 | Zbl 0124.38302 · Zbl 0124.38302 · doi:10.2307/1993676
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