Local to global properties in the theory of fibrations
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)
- Volume: 34, Issue: 2, page 127-151
- ISSN: 1245-530X
Access Full Article
topHow to cite
topBooth, Peter I.. "Local to global properties in the theory of fibrations." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.2 (1993): 127-151. <http://eudml.org/doc/91517>.
@article{Booth1993,
author = {Booth, Peter I.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {fibrations; local to global properties; covering homotopy property; weak covering homotopy property; fibre homotopy equivalence; fibred mapping space; numerable cover},
language = {eng},
number = {2},
pages = {127-151},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Local to global properties in the theory of fibrations},
url = {http://eudml.org/doc/91517},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Booth, Peter I.
TI - Local to global properties in the theory of fibrations
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 2
SP - 127
EP - 151
LA - eng
KW - fibrations; local to global properties; covering homotopy property; weak covering homotopy property; fibre homotopy equivalence; fibred mapping space; numerable cover
UR - http://eudml.org/doc/91517
ER -
References
top- A.G. Allaud, On the classification of fiber spaces, Math Z.92 (1966) 110-125. Zbl0139.16603MR189035
- Bo1 P. Booth, Fibrations and cofibred pairs, Math. Scand.35 (1974), 145-148. Zbl0302.55004MR370560
- Bo2 P. Booth, Fibrations and classifying spaces: an axiomatic approach, (to appear). Zbl0906.55010
- Br R. Brown, Topology, Ellis Horwood, Chichester, 1988. Zbl0655.55001MR984598
- Do A. Dold, Partitions of unity in the theory of fibrations, Ann. of Math.78 (1963), 223-255. Zbl0203.25402MR155330
- E M.H. Eggar, The piecing comparison theorem, Nederl. Akad. Wetensch. Proc. Ser. A. 76 = Indag. Math.35 (1973), 320-330. Zbl0275.55015MR328925
- H D. Husemoller, Fibre Bundles, 2nd edition, Springer-Verlag, Berlin, 1975. Zbl0307.55015MR370578
- Ma J.P. May, Classifying spaces and fibrations, Memoirs Amer. Math. Soc.155 (1975). Zbl0321.55033MR370579
- Mo1 C. Morgan, F-fibrations and groups of gauge transformations, Ph.D. thesis, Memorial University of Newfoundland, 1980.
- Mo2 C. Morgan, Characterizations of F-fibrations, Proc. Amer. Math. Soc.88 (1983), 169-172. Zbl0542.55014MR691302
- Sp E. Spanier, Algebraic topology, McGraw-Hill, New York, 1966. Zbl0145.43303MR210112
- St1 A. Strøm, Note on cofibrations, Math. Scand.19 (1966), 11-14. Zbl0145.43604MR211403
- St2 A. Strøm, Note on cofibrations II, Math. Scand.22 (1968), 130-142. Zbl0181.26504MR243525
- St3 A. Strøm, The homotopy category is a homotopy category, Arch. der Math., 23 (1972), 435-441. Zbl0261.18015MR321082
- V R.M. Vogt, Convenient categories of topological spaces for homotopy theory, Arch. Math.22 (1971), 545-555. Zbl0237.54001MR300277
Citations in EuDML Documents
top- Peter I. Booth, Fibrations and classifying spaces : an axiomatic approach I
- Peter I. Booth, On the geometric bar construction and the Brown representability theorem
- Peter I. Booth, Fibrations and classifying spaces : an axiomatic approach II
- Kyung Chan Min, Young Sun Kim, Jin Won Park, Fibrewise exponential laws in a quasitopos
- Peter I. Booth, Fibrations and classifying spaces : overview and the classical examples
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.