C.J.Mulvey

C.J.Mulvey MA (Cambridge) MSc (Sheffield) DPhil ( Sussex)
Reader Emeritus in Mathematics

Research Publications

The following is a list of research publications, of which hard copies may be obtained by emailing a request to c.j.mulvey@sussex.ac.uk . A fairly comprehensive description of current research interests may be found on my home page. Information on recent research articles and on forthcoming papers is also available from this page.

Books: Edited

1. (with M.P. Fourman, D.S. Scott) Applications of Sheaves: Proceedings of the Durham Symposium, July, 1977. Lecture Notes in Mathematics, 753. Springer Verlag, 1979.

2. (with E. Nelson) Special Issue of the Journal of Pure and Applied Algebra in Honour of the Sixtieth Birthday of Professor Bernhard Banaschewski, Journal of Pure and Applied Algebra, 68, 1-277. North Holland, 1990.

Conference Contributions: Refereed

1. Algebra in a topos. Tagungsbericht, Category Meeting, Oberwolfach, 1972.

2. Rings and toposes. Notices Amer. Math. Soc., 20, A87 (1973).

3. C*-algebras in a topos. Tagungsbericht, Category Meeting, Oberwolfach, 1974.

4. A syntactic construction of the spectrum of a commutative ring. Tagungsbericht, Category Meeting, Oberwolfach, 1975.

5. Banach spaces in a category of sheaves. Tagungsbericht, Category Meeting, Oberwolfach, 1977.

6. A syntactic construction of the spectrum of a commutative C*-algebra. Tagungsbericht, Category Meeting, Oberwolfach, 1977.

7. The non-commutative Gelfand-Naimark theorem. Seminarberichte des Fachbereich Mathematik, Fernuniversität, Hagen, 1979.

8. &. Tagungsbericht, Category Meeting, Oberwolfach, 1983.

9. Quantales. Seminarberichte des Fachbereich Mathematik, Fernuniversität, Hagen, 1983.

10. Quantales, C*-algebras, and Computer Science. Proceedings of the 6th Algebra Seminar, Tehran, September, 1990. Iranian Mathematical Society, 1992.

11. Sheaves, locales, and the Axiom of Choice. Proceedings of the 6th Algebra Seminar, Tehran, September, 1990. Iranian Mathematical Society, 1992.

12. On the geometry of choice. Proceedings of the 3rd Pan-African Congress of Mathematicians, Nairobi, 1992, 59-80. African Mathematical Union, 1995.

Editorships

Journal of Pure and Applied Algebra, North Holland Publishing Company, Elsevier, 1976-97.

Journal Papers: Academic

1. Point-soft sheaves and de Rham cohomology. University of Sheffield, 1968.

2. A condition for a ringed space to be a generator in its category of modules. J. Algebra, 15, 312-313 (1970)

3. Représentations des produits sous-directs d'anneaux par espaces annelés. C.R. Acad. Sci. Paris, 270, A564-567 (1970).

4. On ringed spaces. University of Sussex, 1970.

5. Intuitionistic algebra and representations of rings. In Recent advances in the representation theory of rings and C*-algebras. Mem. Amer. Math. Soc., 148, 3-57 (1974).

6. Espaces annelés compacts. C.R. Acad. Sci. Paris, 283, A229-231 (1976).

7. A generalisation of Swan's theorem. Math. Zeit., 151, 57-70 (1976).

8. A remark on the prime stalk theorem. J. Pure Applied Algebra, 10, 253-256 (1977).

9. A categorical characterisation of compactness. J. London Math. Soc., 17, 356-362 (1978).

10. Compact ringed spaces. J. Algebra, 52, 411-436 (1978).

11. Representations of rings and modules. In Applications of Sheaves: Proceedings of the Durham Symposium, July 1977. Lecture Notes in Mathematics, 753, 542-585. Springer, 1979.

12. Banach sheaves. J. Pure Applied Algebra, 17, 69-83 (1980).

13. (with C.W. Burden) Banach spaces in categories of sheaves. In Applications of Sheaves: Proceedings of the Durham Symposium, July 1977. Lecture Notes in Mathematics, 753, 169-196. Springer, 1979.

14. A generalisation of Gelfand duality. J. Algebra, 56, 499-505 (1979).

15. A condition for the representability of a topological ring. Comm. Algebra, 7, 995-998 (1979).

16. Banach spaces over a compact space. In Categorical Topology, Berlin, 1978. Lecture Notes in Mathematics, 719, 243-249. Springer, 1979.

17. (with B. Banaschewski) The Stone-Cech compactification of locales, I. Houston J. Math., 6, 301-312 (1980).

18. A non-commutative Gelfand-Naimark theorem. Math. Proc. Camb. Phil. Soc., 88, 425-428 (1980).

19. (with J.W. Pelletier) The dual locale of a seminormed space. Cah. Top. Géom. Diff., 23, 73-92 (1982).

20. (with B. Banaschewski) The Stone-Cech compactification of locales, II. J. Pure Applied Algebra, 33, 107-122 (1984).

21. (with J.W. Pelletier) On the points of locales in a De Morgan topos. In Categorical Topology, Toledo, 1983. Sigma Series in Pure Mathematics, 5, 392-407. Heldermann, 1984.

22. &. Rendiconti Circ. Mat. Palermo, 12, 99-104 (1986).

23. The maximality of filters. J. Pure Applied Alg., 68, 253-258 (1990).

24. (with J.W. Pelletier) A globalisation of the Hahn-Banach theorem. Advances in Mathematics, 89, 1-59 (1991).

25. (with J.W. Pelletier) A geometric characterization concerning compact convex sets. Math. Proc. Camb. Phil. Soc., 109, 351-361 (1991).

26. (with J.W. Pelletier) A quantisation of the calculus of relations. In Category Theory 1991, CMS Conference Proceedings, 13, 345-360. Amer. Math. Soc., 1992.

27. (with M. Nawaz) Quantales: Quantal sets. In Non-Classical Logics and their Application to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory, 159-217. Kluwer, 1995.

28. (with B. Banaschewski) A constructive proof of the Stone-Weierstrass theorem. J. Pure Applied Alg., 116, 25-40 (1997).