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On a sequence of K. A. Hardie. (English) Zbl 0389.55013

MSC:
55Q05 Homotopy groups, general; sets of homotopy classes
18G99 Homological algebra in category theory, derived categories and functors
20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
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References:
[1] 1 A.J. Berrick and K.H. Kamps , Comparison theorems in homotopy theory via operations on homotopy sets , Topo. Appl. Symp. Beograd , 1977 ( to appear). MR 809311 · Zbl 0575.55018
[2] 2 R. Brown , Fibrations of groupoids , J. Algebra 15 ( 1970 ), 103 - 132 . MR 271194 | Zbl 0194.02202 · Zbl 0194.02202 · doi:10.1016/0021-8693(70)90089-X
[3] 3 K.A. Hardie , An exact sequence in pair-homotopy , Seminarberichte Fachbereich Math. Fernuniv. Hagen 3 ( 1977 ), 109 - 123 . MR 565142
[4] 4 K.H. Kamps , Kan-Bedingungen und abstrakte Homotopietheorie , Math. Z. 124 ( 1972 ), 215 - 236 . Article | MR 295346 | Zbl 0223.55020 · Zbl 0223.55020 · doi:10.1007/BF01110801 · eudml:171673
[5] 5 K.H. Kamps , Zur Homotopietheorie von Gruppoiden , Arch. Math. 23 ( 1972 ), 610 . MR 315022 | Zbl 0251.20059 · Zbl 0251.20059 · doi:10.1007/BF01304941
[6] 6 K.H. Kamps , On exact sequences in homotopy theory , Topo. Appl. Symp. Budva 1972 ( 1973 ), 136 - 141 . MR 353302 | Zbl 0276.18011 · Zbl 0276.18011
[7] 7 K.H. Kamps , Zur Struktur der Puppe-Folge für halbexakte Funktoren , Manuscripta Math. 12 ( 1974 ), 93 - 104 . MR 356042 | Zbl 0275.55023 · Zbl 0275.55023 · doi:10.1007/BF01166237 · eudml:154230
[8] 8 K.H. Kamps , Operationen auf Homotopiemengen , Math. Nachr. 81 ( 1978 ), 238 . MR 467736 | Zbl 0375.55014 · Zbl 0375.55014 · doi:10.1002/mana.19780810110
[9] 9 A. Strøm , Note on cofibrations , Math. Scand. 19 ( 1966 ), 11 - 14 . MR 211403 | Zbl 0145.43604 · Zbl 0145.43604 · eudml:165952
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