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On the preservation of homotopy invariance by Kan extensions. (English) Zbl 0486.18006


MSC:

18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
55U35 Abstract and axiomatic homotopy theory in algebraic topology
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References:

[1] 1 A. D Ele Anu & P. Hilton , On Kan extensions of cohomology theories and Serre classes of groups , Fund. Math. LXXIII ( 1971 ), 143 - 165 . MR 295337 | Zbl 0226.55011 · Zbl 0226.55011
[2] 2 A. Deleanu & P. Hilton , Remark on Čech extensions of cohomology functors , Aarhus Univ. Math. Inst. Series 13 , I ( 1970 ), 4 4 - 66 . MR 346775 | Zbl 0232.55007 · Zbl 0232.55007
[3] 3 A. Deleanu & P. Hilton , Some remarks on general cohomology theories , Math. Scand. 22 ( 1968 ), 227 - 240 . MR 261589 | Zbl 0174.26002 · Zbl 0174.26002
[4] 4 A. Dold , Lectures on algebraic topology ( Appendix), Springer , Grundlehren 200 , 1972 . MR 415602 | Zbl 0234.55001 · Zbl 0234.55001
[5] 5 A. Frei , On categorical shape theory , Cahiers Topo. et Géom. Diff. XVII - 3 ( 1976 ), 261 - 294 . Numdam | MR 439911 | Zbl 0341.55015 · Zbl 0341.55015
[6] 6 P. Hilton , On the construction of cohomology theories , Rendic. di Mat. 1 ( 1968 ), 219 - 232 . MR 240807 | Zbl 0184.27001 · Zbl 0184.27001
[7] 7 R.A. Piccinini , Extension de théories d’homologie , C.R.A.S. Paris 274 ( 1972 ), 828 - 829 . MR 295340 | Zbl 0242.18019 · Zbl 0242.18019
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