Pullback functors and crossed complexes

James Howie

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 3, page 281-296
  • ISSN: 1245-530X

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Howie, James. "Pullback functors and crossed complexes." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.3 (1979): 281-296. <http://eudml.org/doc/91217>.

@article{Howie1979,
author = {Howie, James},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {pullback functors; adjoint; category of crossed complexes; fibration of groupoids; cartesian closed category},
language = {eng},
number = {3},
pages = {281-296},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Pullback functors and crossed complexes},
url = {http://eudml.org/doc/91217},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Howie, James
TI - Pullback functors and crossed complexes
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 3
SP - 281
EP - 296
LA - eng
KW - pullback functors; adjoint; category of crossed complexes; fibration of groupoids; cartesian closed category
UR - http://eudml.org/doc/91217
ER -

References

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  1. 1 A L. Bl Akers, Some relations between Homology and Homotopy groups, Ann. of Math.49 (1948), 428-461, Zbl0040.25701MR24132
  2. 2 P.I. Booth, The exponential law of maps, I, Proc. London Math. Soc. (3) 20 (1970), 179-192. Zbl0189.54301MR253275
  3. 3 P.I. Booth, The section problem and the lifting problem, Math. Zeitsch.121 (1971), 273-287. Zbl0207.22203MR298657
  4. 4 P.I. Booth, The exponential law of maps, II, Math. Zeitsch.121 (1971), 311-319. Zbl0207.22202MR298658
  5. 5 R. Brown, Fibrations of groupoids, J. o f A lge bra15 (1970), 103-132. Zbl0194.02202MR271194
  6. 6 R. Brown & P.J. Higgins, Sur les complexes croisés, ω-groupoïdes et T-complexes, C. R. A. S. Paris285 (1977), 997-999. Zbl0379.55013
  7. 7 P.J. Higgins, Categories and groupoids, Van NostrandReinholdMath. Studies1971, Zbl0226.20054MR327946
  8. 8 J. Howie, Topics in the theory of double groupoids, Thesis, Univ. London1977. 
  9. 9 J. Huebschmann, Dissertation 5999, E. T. H. Zürich, 1977. 
  10. 10 J. Huebschmann, N-fold extensions of groups, Preprint. Zbl0443.18019
  11. 11 J.H.C. Whitehead, Combinatorial Homotopy, II, Bull. A. M. S.55 (1949), 453-496. Zbl0040.38801MR30760
  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. Paris275A (1972), 891-894. Zbl0242.18012MR310033
  13. 13 P.T. Johnstone, Topos Theory, Academic Press, 1977. Zbl0368.18001MR470019
  14. 14 F.W. Lawvere, Introduction: Toposes, Algebraic Geometry and Logic, L ecture Notes in Math. 274, Springer (1972). Zbl0249.18015MR376798

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