×

Pullback functors and crossed complexes. (English) Zbl 0429.18007


MSC:

18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories)
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
PDF BibTeX XML Cite
Full Text: Numdam EuDML

References:

[1] 1 A L. Bl Akers , Some relations between Homology and Homotopy groups , Ann. of Math. 49 ( 1948 ), 428 - 461 , MR 24132 | Zbl 0040.25701 · Zbl 0040.25701
[2] 2 P.I. Booth , The exponential law of maps, I , Proc. London Math. Soc. ( 3 ) 20 ( 1970 ), 179 - 192 . MR 253275 | Zbl 0189.54301 · Zbl 0189.54301
[3] 3 P.I. Booth , The section problem and the lifting problem , Math. Zeitsch. 121 ( 1971 ), 273 - 287 . Article | MR 298657 | Zbl 0207.22203 · Zbl 0207.22203
[4] 4 P.I. Booth , The exponential law of maps, II , Math. Zeitsch. 121 ( 1971 ), 311 - 319 . Article | MR 298658 | Zbl 0207.22202 · Zbl 0207.22202
[5] 5 R. Brown , Fibrations of groupoids , J. o f A lge bra 15 ( 1970 ), 103 - 132 . MR 271194 | Zbl 0194.02202 · Zbl 0194.02202
[6] 6 R. Brown & P.J. Higgins , Sur les complexes croisés, \omega -groupoïdes et T-complexes , C. R. A. S. Paris 285 ( 1977 ), 997 - 999 . Zbl 0379.55013 · Zbl 0379.55013
[7] 7 P.J. Higgins , Categories and groupoids , Van Nostrand Reinhold Math. Studies 1971 , MR 327946 · Zbl 0226.20054
[8] 8 J. Howie , Topics in the theory of double groupoids , Thesis, Univ. London 1977 .
[9] 9 J. Huebschmann , Dissertation 5999 , E. T. H. Zürich , 1977 .
[10] 10 J. Huebschmann , N-fold extensions of groups , Preprint. · Zbl 0443.18019
[11] 11 J.H.C. Whitehead , Combinatorial Homotopy, II , Bull. A. M. S. 55 ( 1949 ), 453 - 496 . Article | MR 30760 | Zbl 0040.38801 · Zbl 0040.38801
[12] 12 F. Conduche , Au sujet de l’existence d’adjoints à droite aux foncteurs image réciproque dans la catégorie des categories , C. R. A. S. Paris 275A ( 1972 ), 891 - 894 . MR 310033 | Zbl 0242.18012 · Zbl 0242.18012
[13] 13 P.T. Johnstone , Topos Theory , Academic Press , 1977 . MR 470019 | Zbl 0368.18001 · Zbl 0368.18001
[14] 14 F.W. Lawvere , Introduction : Toposes, Algebraic Geometry and Logic, L ecture Notes in Math . 274 , Springer ( 1972 ). MR 376798 | Zbl 0249.18015 · Zbl 0249.18015
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.