Pullback and pushout squares in a special double category with connection

C. B. Spencer; Y. L. Wong

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1983)

  • Volume: 24, Issue: 2, page 161-192
  • ISSN: 1245-530X

How to cite

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Spencer, C. B., and Wong, Y. L.. "Pullback and pushout squares in a special double category with connection." Cahiers de Topologie et Géométrie Différentielle Catégoriques 24.2 (1983): 161-192. <http://eudml.org/doc/91325>.

@article{Spencer1983,
author = {Spencer, C. B., Wong, Y. L.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {thin squares; cube theorems; homotopy commutative cubes; 2-category; double category},
language = {eng},
number = {2},
pages = {161-192},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Pullback and pushout squares in a special double category with connection},
url = {http://eudml.org/doc/91325},
volume = {24},
year = {1983},
}

TY - JOUR
AU - Spencer, C. B.
AU - Wong, Y. L.
TI - Pullback and pushout squares in a special double category with connection
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1983
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 24
IS - 2
SP - 161
EP - 192
LA - eng
KW - thin squares; cube theorems; homotopy commutative cubes; 2-category; double category
UR - http://eudml.org/doc/91325
ER -

References

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  1. 1 R. Brown, Higher dimensional group theory, Conf. on Low-dimensional Topology, Bangor, 1979. Zbl0484.55007
  2. 2 R. Brown& P.R. Heath, Coglueing homotopy equivalences, Math. Zeit.113 (1970), 313- 325. Zbl0185.51101MR266213
  3. 3 R. Brown& P.J. Higgins, On the connection between the second relative homotopy groups of some related spaces, Proc. London Math. Soc. (3) 36 (1978) 193-212. Zbl0405.55015MR478150
  4. 4 R. Brown & P.J. Higgins, The algebra of cubes, J. Pure and Appl. Algebra25 (1982). Zbl0468.55007MR617135
  5. 5 R. Brown& P.J. Higgins, Colimits of relative homotopy groups, J. Pure and Appl. Algebra25 (1982). 
  6. 6 R. Brown & C.B. Spencer, Double groupoids and crossed modules, Cahiers Top. et Géo. Diff. XVII-3 (1976), 343-362. Zbl0344.18004MR440553
  7. 7 C. Ehresmann, Catégories doubles et catégories structurées, C.R.A.SParis256 (1963), 1198- 1201. Zbl0132.25702MR152561
  8. 8 A & C. Ehresmann, Multiple functors IV: Monoidal closed structures on Catn, Cahiers Top. et Géo. Diff. XXI-1 (1979), 59 - 104. Zbl0415.18007
  9. 9 J.W. Gray, Formal category theory: adjointness for 2-categories, Lecture Notes in Math.391, Springer (1974), 1-282. Zbl0285.18006MR371990
  10. 10 G.M. Kelly & R. Street, Review of the elements of 2-categories, Lecture Notes in Math.420 (1974), 75-103. Zbl0334.18016MR357542
  11. 11 N. Mather, Pullbacks in homotopy theory, Can. J. Math. XXVIII -2 (1976), 225- 263. Zbl0351.55005
  12. 12 C.B. Spencer, An abstract setting for homotopy pushouts and pullbacks, Cahiers Top. et Géo. Diff.XVIII- 4 (1977), 409-430. Zbl0378.18008MR486054
  13. 13 Y.L. Wong, Chain homotopy pullbacks and pushouts, Typescript University of Hong-Kong, 1982. Zbl0503.55014MR675338

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