
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).
29. (with B. Banaschewski) The spectral theory of commutative
C*-algebras: the constructiive spectrum. Quaest. Math., 23,
425-464 (2000).
30. (with B. Banaschewski) The spectral theory of commutative
C*-algebras: the constructive Gelfand-Mazur theorem. Quaest. Math., 23,
465-488 (2000).
31. (with J.W. Pelletier) On the quantisation of points. J. Pure
Applied Alg., 159, 231-295 (2001).
32. Quantales. In Encyclopaedia of Mathematics, Third
Supplement, 312-314. Kluwer, 2002.
33. (with J.W. Pelletier) On the quantisation of spaces. J. Pure
Applied Alg., 175 (2002), 289-325.
34. On the geometry of choice. In Topological and Algebraic
Structures in Fuzzy Sets. Chapter 11, 309-336. Kluwer, 2003.
35. (with B. Banaschewski) The Stone-Cech compactification of
locales, III. J. Pure Applied Alg., 185 (2003), 25-33.
36. (with P. Resende) A noncommutative theory of Penrose tilings.
Int. J. Theoret. Physics, To appear.
37. (with B. Banaschewski) A globalisation of the Gelfand duality
theorem. To appear.
Official Reports
1. Euromath, Phase I, Interim Report. European
Mathematical Trust, 1989.
2. Annual Report. European Mathematical Trust, 1989.
3. Euromath Policy Document. European Mathematical
Trust, 1989.
4. Euromath. European Mathematical Trust, 1990.
5. Annual Report. European Mathematical Trust, 1990.
6. Euromath, Phase I, Final Report. European
Mathematical Trust, 1990.
7. Euromath, Interim Phase, Final Report. European
Mathematical Trust, 1991.
8. Annual Report. European Mathematical Trust, 1991.
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Mulvey,
2004/05