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Gelfand dualities over topological fields

  • Brian J. Day (a1)
Abstract

The spectral duality theory of H.-E. Porst and M. B. Wischnewsky is examined in more generality, and examples based on topological fields are described.

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References
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[1]Binz, E., Continuous convergence on C(X), Lecture Notes in Mathematics 469 (Springer-Verlag, Berlin, Heidelberg, New York, 1975).
[2]Cornish, W. H., ‘Amalgamating commutative regular rings’, Comment. Math. Univ. Carolinae, 18–3 (1977), 423436.
[3]Day, B. J., ‘Note on duality of Kelleyspace products’, Bull. Austral. Math. Soc. 19 (1978), 273275.
[4]Day, B. J., ‘An extension of Pontryagin duality’, Bull. Austral. Math. Soc. 19 (1978), 445456.
[5]Hong, S. S. and Nel, L. D., ‘Duality theorems for algebras in convenient categories’, Math. Z. 166 (1979), 131136.
[6]Kaplan, S., ‘Extensions of the Pontryagin duality II: Direct and inverse sequences’, Duke Math. J. 17 (1950), 419435.
[7]Kelly, G. M., ‘Monomorphisms, epimorphisms, and pull-backs’, J. Austral. Math. Soc. 9 (1969), 124142.
[8]Porst, H.-E. and Wischnewsky, M. B., ‘Every topological category is convenient for Gelfand duality’, Manuscripta Math. 25 (1978), 169204.
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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