Fibrations and classifying spaces : overview and the classical examples

 Access to full text

 Full (PDF)

1. A.G. Allaud, On the classification of fiber spaces, Math. Z.92 (1966), 110-125. Zbl0139.16603MR189035
2. B1 P. Booth, Local to global properties in the theory of fibrations, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIV-2 (1993), 127-151. Zbl0782.55006MR1223656
3. B2 P. Booth, Fibrations and classifying spaces: an axiomatic approach I, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIX-2 (1998), 83 - 116. Zbl0906.55010MR1631371
4. B3 P. Booth, Fibrations and classifying spaces: an axiomatic approach II, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIX-3 (1998), 181 - 203. Zbl0917.55009MR1641846
5. B4 P. Booth, On the geometric bar construction and the Brown representability theorem, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIX-4 (1998), 271 - 285. Zbl0926.55011MR1663342
6. BHMP P. Booth, P. Heath, C. Morgan and R. Piccinini, H-spaces of self-equivalences of fibrations and bundles, Proc. London Math. Soc.49 (1984), 111-127. Zbl0525.55005MR743373
7. D1 A. Dold, Partitions of unity in the theory of fibrations, Ann. of Math.78 (1963), 223-255. Zbl0203.25402MR155330
8. D2 A. Dold, Halbexakte Homotopiefunktoren, LectureNotes in Math., vol.12, Springer-Verlag, Berlin, 1966. Zbl0136.00801MR198464
9. DL A. Dold and R. Lashof, Principal quasifibrations and fibre homotopy equivalence of bundles, Ill. J. of Math.3 (1959), 285-305. Zbl0088.15301MR101521
10. FP R. Fritsch and R. Piccinini, Cellular structures in topology, Cambridge University Press, Cambridge, 1990. Zbl0837.55001MR1074175
11. F.M. Fuchs, A modified Dold-Lashof construction that does classify H-principal fibrations, Math. Ann.192 (1971), 328-340. Zbl0205.27503MR292080
12. M1 J.P. May, Classifying spaces and fibrations, Mem. Amer. Math. Soc. vol.155, Providence, 1975. Zbl0321.55033MR370579
13. M2 J.P. May, Fibrewise localization and completion, Trans. Amer. Math. Soc.258 (1980), 127-146. Zbl0429.55004MR554323
14. Mn C.R.F. Maunder, Algebraic Topology, Van Nostrand Rein-hold, London and New York, 1970. Zbl0205.27302
15. Mi J. Milnor, Construction of universal bundles II, Ann. of Math.63 (1956), 430-436. Zbl0071.17401MR77932
16. Mo C. Morgan, Characterizations of F-fibrations, Proc. Amer. Math. Soc.88 (1983), 169-172. Zbl0542.55014MR691302
17. P G.J. Porter, Homomorphisms of principal fibrations: applications to classification, induced fibrations and the extension problem, Ill. J. of Math.16 (1972); 41-60. Zbl0228.55018MR298663
18. PPP C. Pacati, P. Pavešic and R. Piccinini, On the classification of F-fibrations, Top. and its Applics. 87 (1998), 213-227. Zbl0928.55020MR1624324
19. Sc R. Schön, The Brownian classification of fibre spaces, Arch. Math.39 (1982), 359-365. Zbl0512.55014MR684406
20. Sib R. Sibson, Existence theorems for H-space inverses, Proc. Camb. Phil. Soc.65 (1969), 19-21. Zbl0165.26203MR233352
21. Sie J. Siegel, On a space between BH and B∞, Pacif. J. of Math.60, No. 2, (1975), 235-246. Zbl0327.55020
22. Sp E. Spanier, Algebraic Topology, McGraw-Hill, NewYork, 1966. Zbl0145.43303MR210112
23. Sta J. Stasheff, A classification theorem for fibre spaces, Topology2 (1963), 239-246. Zbl0123.39705MR154286
24. Str A. STR∅M, The homotopy category is a homotopy category, Arch. der Math.XXIII (1972), 435-441. Zbl0261.18015
25. Va K. Varadarajan, On fibrations and category, Math. Z.88 (1965), 267-273. Zbl0163.17905MR180969