Local to global properties in the theory of fibrations

Peter I. Booth

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)

  • Volume: 34, Issue: 2, page 127-151
  • ISSN: 1245-530X

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Booth, 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

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  1. A.G. Allaud, On the classification of fiber spaces, Math Z.92 (1966) 110-125. Zbl0139.16603MR189035
  2. Bo1 P. Booth, Fibrations and cofibred pairs, Math. Scand.35 (1974), 145-148. Zbl0302.55004MR370560
  3. Bo2 P. Booth, Fibrations and classifying spaces: an axiomatic approach, (to appear). Zbl0906.55010
  4. Br R. Brown, Topology, Ellis Horwood, Chichester, 1988. Zbl0655.55001MR984598
  5. Do A. Dold, Partitions of unity in the theory of fibrations, Ann. of Math.78 (1963), 223-255. Zbl0203.25402MR155330
  6. E M.H. Eggar, The piecing comparison theorem, Nederl. Akad. Wetensch. Proc. Ser. A. 76 = Indag. Math.35 (1973), 320-330. Zbl0275.55015MR328925
  7. H D. Husemoller, Fibre Bundles, 2nd edition, Springer-Verlag, Berlin, 1975. Zbl0307.55015MR370578
  8. Ma J.P. May, Classifying spaces and fibrations, Memoirs Amer. Math. Soc.155 (1975). Zbl0321.55033MR370579
  9. Mo1 C. Morgan, F-fibrations and groups of gauge transformations, Ph.D. thesis, Memorial University of Newfoundland, 1980. 
  10. Mo2 C. Morgan, Characterizations of F-fibrations, Proc. Amer. Math. Soc.88 (1983), 169-172. Zbl0542.55014MR691302
  11. Sp E. Spanier, Algebraic topology, McGraw-Hill, New York, 1966. Zbl0145.43303MR210112
  12. St1 A. Strøm, Note on cofibrations, Math. Scand.19 (1966), 11-14. Zbl0145.43604MR211403
  13. St2 A. Strøm, Note on cofibrations II, Math. Scand.22 (1968), 130-142. Zbl0181.26504MR243525
  14. St3 A. Strøm, The homotopy category is a homotopy category, Arch. der Math., 23 (1972), 435-441. Zbl0261.18015MR321082
  15. V R.M. Vogt, Convenient categories of topological spaces for homotopy theory, Arch. Math.22 (1971), 545-555. Zbl0237.54001MR300277

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