MacDonald, John L. Natural factorizations and the Kan extension of cohomology theories. (English) Zbl 0368.55006 Cah. Topol. Géom. Différ. 17, 69-93 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document 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 PDFBibTeX XMLCite \textit{J. L. MacDonald}, Cah. Topologie Géom. Différ. Catégoriques 17, 69--93 (1976; Zbl 0368.55006) Full Text: Numdam EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.