Fibrations and classifying spaces : an axiomatic approach I
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1998)
- Volume: 39, Issue: 2, page 83-116
- ISSN: 1245-530X
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topBooth, Peter I.. "Fibrations and classifying spaces : an axiomatic approach I." Cahiers de Topologie et Géométrie Différentielle Catégoriques 39.2 (1998): 83-116. <http://eudml.org/doc/91604>.
@article{Booth1998,
author = {Booth, Peter I.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {universal fibration; classification of fibrations},
language = {eng},
number = {2},
pages = {83-116},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Fibrations and classifying spaces : an axiomatic approach I},
url = {http://eudml.org/doc/91604},
volume = {39},
year = {1998},
}
TY - JOUR
AU - Booth, Peter I.
TI - Fibrations and classifying spaces : an axiomatic approach I
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1998
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 39
IS - 2
SP - 83
EP - 116
LA - eng
KW - universal fibration; classification of fibrations
UR - http://eudml.org/doc/91604
ER -
References
top- B1 P.I. Booth, Local to global properties in the theory of fibrations, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIV-2 (1993), 127-151. Zbl0782.55006MR1223656
- B2 P.I. Booth, Fibrations and classifying spaces: an axiomatic approach II (to appear, Cahiers de Topologie et Géométrie Différentielle Catégoriques). Zbl0917.55009MR1641846
- B3 P.I. Booth, Fibrations and classifying spaces: overview and examples (to appear) Zbl0991.55010
- B4 P.I. Booth, On the geometric bar construction and the Brown representability theorem (to appear, Cahiers de Topologie et Géométrie Différentielle Catégoriques). Zbl0926.55011MR1663342
- B(E) E.H. Brown, Abstract homotopy theory, Trans. Amer. Math. Soc.119 (1965), 79-85. Zbl0129.15301MR182970
- B(R) R. Brown, Topology: a geometric account of general topology, homotopy types and the fundamental groupoid, Ellis Horwood, Chichester, 1988. Zbl0655.55001MR984598
- FP R. Fritsch and R.A. Piccinini, Cellular structures in topology, Cambridge University Press, Cambridge, 1990. Zbl0837.55001MR1074175
- F.M. Fuchs, A note on mapping cylinders, Mich. Math. J.18, 289-290 (1971). Zbl0224.55015MR287537
- M J.P. May, Classifying spaces and fibrations, Mem. Amer. Math. Soc. vol.155, Providence, 1975. Zbl0321.55033MR370579
- V1 R.M. Vogt, Convenient categories of topological spaces for homotopy theory, Arch. MathXXII (1971), 545-555. Zbl0237.54001MR300277
- V2 R.M. Vogt, A note on homotopy equivalences, Proc. Amer. Math. Soc.32 (1972), 627-629. Zbl0241.55009MR293632
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