Fibrewise exponential laws in a quasitopos

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1. [1] J. Aámek and H. Herrlich, Cartesian closed categories, quasitopoi and topological universes, Comment. Math. Univ. Carolinae27.2 (1986), 235-257. Zbl0601.18003MR857544
2. [2] H.J. Baues, Algebraic Homotopy, Cambridge Univ. Press, (1989). Zbl0688.55001MR985099
3. [3] P.I. Booth, The exponential law of maps, I, Proc. London Math. Soc. (3) 20 (1970), 179-192. Zbl0189.54301MR253275
4. [4] P.I. Booth, The section problem and the lifting problem, Math. Z.121 (1971), 273-287. Zbl0207.22203MR298657
5. [5] P.I. Booth, The exponential law of maps, II, Math. Z.121 (1971), 311-319. Zbl0207.22202MR298658
6. [6] P.I. Booth, Local to global properties in the theory of fibrations, Cahiers de Top.et Geo.Diff. Cat., Vol.XXXIV-2 (1993), 127-151. Zbl0782.55006MR1223656
7. [7] P.I. Booth, P.R. Heath and R.A. Piccinini, Fibre preserving maps and function spaces, Algebraic topology, Proceedings, Vancouver1977, Springer Lecture Notes in Math. Vol. 673, 158-167, Springer-Verlag (1978). Zbl0399.55001MR517090
8. [8] P.I. Booth and R. Brown, On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps, Gen. Top. Appl.8 (1978), 165-179. Zbl0373.54013MR482637
9. [9] P.I. Booth and R. Brown, Spaces of partial maps, fibred mapping spaces and the compact-open topology, Gen. Top. Appl.8 (1978), 181-195. Zbl0373.54012MR482636
10. [10] A. Heller, Relative homotopy, (1989) (preprint). Zbl0759.55016
11. [11] H. Herrlich, Topological improvements of categories of structured sets, Top. and its Appl.27 (1987), 145-155. Zbl0632.54008MR911688
12. [12] L.G. LewisJr., Open maps, colimit and a convenient category of fibre spaces, Topology Appl., 19 (1985), 75-89. Zbl0559.18005MR786083
13. [13] K.C. Min and S.J. Lee, Fibrewise convergence and exponential laws, Tsukuba L. Math. Vol.16, No.1 (1992), 53-62. Zbl0783.18005MR1178664
14. [14] K.C. Min, S.J. Lee and J.W. Park, Fibrewise convergence, Comm. K.M.S., 8, No.2 (1992), 335-344. 
15. [15] K.C. Min and L.D. Nel, Intrinsic functional analysis of sequential convergence spaces, Quaestiones Mathematicae13(1), (1990), 113-122. Zbl0751.46007MR1051622
16. [16] C. Morgan, Characterizations of F-fibrations, Proc. of Amer. math. Soc. Vol.89, No.1 (1983), 169-172. Zbl0542.55014MR691302
17. [17] C. Morgan and R. Piccinini, Fibrations, Expo. Math.4 (1986), 217-242. Zbl0597.55014MR880124
18. [18] L.D. Nel, Topological universe and smooth Gelfand-Naimark duality. Mathematical Applications of Category Theory, Contemp. Math.30 (1984), 224-276. Zbl0548.46054MR749775
19. [19] G. Preuß, Some categorical aspects of simplicial complexes, (1987), (preprint). Zbl0535.18007MR734652
20. [20] E.H. Spanier, Algebraic Topology, McGraw-Hill (1966). Zbl0145.43303MR210112
21. [21] N.E. Steenrod, A convenient category of topological spaces, Michigan Math. J.14 (1967), 133-152. Zbl0145.43002MR210075
22. [22] R.M. Vogt, Convenient categories of topological spaces for homotopy theory, Arch. Math.XXII (1971), 545-555. Zbl0237.54001MR300277