On the geometric bar construction and the Brown representability theorem

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1. Bo1. P. I. Booth, Equivalent homotopy theories and groups of self-equivalences, Lecture Notes in Math. vol. 1425 (1990), 1-16, Springer-Verlag, Berlin. Zbl0706.55004MR1070571
2. Bo2 P.I. Booth, Local to global properties in the theory of fibrations, Cahiers deTopologie et Géométrie Différentielle Catégoriques, XXXIV-2 (1993), 127-151. Zbl0782.55006MR1223656
3. Bo3 P.I. Booth, Fibrations and classifying spaces: an axiomatic approach I, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIX (1998), 83-116. Zbl0906.55010MR1631371
4. Bo4 P.I. Booth, Fibrations and classifying spaces: an axiomatic approach II, Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIX (1998), 181-203. Zbl0917.55009MR1641846
5. Bo5 P.I. Booth, Fibrations and classifying spaces: overview and examples (to appear). Zbl0991.55010
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), 111-124. Zbl0525.55005MR743373
7. BHP1 P.I. Booth, P.R. Heath and R.A. Piccinini, Fibre preserving maps and functional spaces, Lecture Notes in Math. vol. 673 (1978), 158-167, Springer-Verlag, Berlin. Zbl0399.55001MR517090
8. BHP2 P.I. Booth, P.R. Heath and R.A. Piccinini, Characterizing universal fibrations, Lecture Notes in Math. vol. 673 (1978), 168-184, Springer-Verlag, Berlin. Zbl0392.55006MR517091
9. Do A. Dold, Partitions of unity in the theory of fibrations, Ann. of Math.78 (1963), 223-255. Zbl0203.25402MR155330
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16. V.R.M. Vogt, Convenient categories of topological spaces for homotopy theory, Arch. Math22 (1971), 545-555. Zbl0237.54001MR300277

1. Peter I. Booth, Fibrations and classifying spaces : an axiomatic approach I
2. Peter I. Booth, Fibrations and classifying spaces : an axiomatic approach II
3. Peter I. Booth, Fibrations and classifying spaces : overview and the classical examples