Frei, Armin On the preservation of homotopy invariance by Kan extensions. (English) Zbl 0486.18006 Cah. Topol. Géom. Différ. 22, 329-336 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) 55U35 Abstract and axiomatic homotopy theory in algebraic topology Keywords:homotopy univariance; full embedding; quotient functors; homotopy invariant functor; left extensions; homotopy classes PDFBibTeX XMLCite \textit{A. Frei}, Cah. Topologie Géom. Différ. Catégoriques 22, 329--336 (1981; Zbl 0486.18006) Full Text: Numdam EuDML 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 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.