An abstract setting for homotopy pushouts and pullbacks
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1977)
- Volume: 18, Issue: 4, page 409-429
- ISSN: 1245-530X
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topSpencer, Christopher B.. "An abstract setting for homotopy pushouts and pullbacks." Cahiers de Topologie et Géométrie Différentielle Catégoriques 18.4 (1977): 409-429. <http://eudml.org/doc/91190>.
@article{Spencer1977,
author = {Spencer, Christopher B.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {4},
pages = {409-429},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {An abstract setting for homotopy pushouts and pullbacks},
url = {http://eudml.org/doc/91190},
volume = {18},
year = {1977},
}
TY - JOUR
AU - Spencer, Christopher B.
TI - An abstract setting for homotopy pushouts and pullbacks
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1977
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 18
IS - 4
SP - 409
EP - 429
LA - eng
UR - http://eudml.org/doc/91190
ER -
References
top- 1 A. Bastiani and C. Ehresmann, Multiple functors I, Cahiers Topo. et Géo. Diff15-3 (1974). Zbl0332.18005MR379626
- 2 R. Brown and P.J. Higgins, On the connection between the second relative homotopy groups of some spaces ( To appear). Zbl0405.55015
- 3 R. Brown and C.B. Spencer, Double groupoids and crossed modules, Cahiers Topo. et Géo. Diff.17-4 (1976), 343- 362. Zbl0344.18004MR440553
- 4 P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Springer, Berlin, 1967. Zbl0186.56802MR210125
- 5 J.W. Gray, FormalCategory theory, Lecture Notes in Math. 391 (1974). Zbl0285.18006
- 6 G.M. Kelly and R. Street, Review of the elements of 2-categories, Lecture Notes in Math.420, Springer (1974), 75-103. Zbl0334.18016MR357542
- 7 M. Mather, Pullbacks in homotopy theory ( To appear). Zbl0351.55005MR167984
- 8 M. Mather, A generalisation of Ganea's theorem on the mapping cone of the inclusion of a fibre ( To appear). Zbl0324.55008
- 9 M. Mather, Hurewicz theorems for pairs and squares, Math. Scand.32 (1973), 269-272. Zbl0279.55008MR356040
- 10 Y. Nomura, On extensions of triads, Nagoya Math. J.27 (1966), 249- 277. Zbl0145.20102MR203732
- 11 Y. Nomura, The Whitney join and its dual, Osaka J. Math.7 (1970), 353-373. Zbl0211.55301MR281208
- 12 P.H. Palmquist, The double category of adjoint squares, Lecture Notes in Math.195, Springer (1971), 123-153. Zbl0263.18004MR289600
- 13 J.W. Rutter, Fibred joins of fibrations and maps, I', Bull. London Math. Soc.4 (1972), 187- 190. Zbl0246.55009MR319190
- 14 J.W. Rutter, Fibred joins of fibrations and maps, II', J. London Math. Soc. ( 2 ) 8 (1974), 453- 459. Zbl0288.55014MR348744
- 15 R.M. Vogt, A note on homotopy equivalences, Proc. AMS32 (1972), 627- 629. Zbl0241.55009MR293632
- 16 M. Walker, Homotopy pullbacks and applications to duality ( To appear). Zbl0352.55014
Citations in EuDML Documents
top- Y. L. Wong, Chain homotopy pullbacks and pushouts
- Ronald Brown, Philip J. Higgins, The equivalence of -groupoids and crossed complexes
- Timothy Porter, Crossed modules in and a Brown-Spencer theorem for -categories
- Andrée Ehresmann, Charles Ehresmann, Multiple functors. II. The monoidal closed category of multiple categories
- C. B. Spencer, Y. L. Wong, Pullback and pushout squares in a special double category with connection
- Andrée Ehresmann, Charles Ehresmann, Multiple functors. IV. Monoidal closed structures on
- Robert Dawson, Robert Pare, General associativity and general composition for double categories
- Ronald Brown, Marek Golasinski, A model structure for the homotopy theory of crossed complexes
- R. J. M. Dawson, R. Pare, D. A. Pronk, Free extensions of double categories
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