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Book Review
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Book Information
Author(s):
Peter T. Johnstone
Title:
Stone spaces
Additional book information:
Cambridge Studies in Advanced Mathematics, Vol. 3, Cambridge University Press, New York, 1983, xxi + 370 pp., $59.50. ISBN 0-5212-3983-5
References:
- 1.
- H. B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc. 70 (1964), 723-726. MR 184060
- 2.
- M. Coste, Une approche logique des théories définissables par limites projectives finies, Séminaire Benabou, Univ. Paris-Nord, 1976.
- 3.
- C. Ehresmann, Gattungen von lokalen Strukturen, Jahresber. Deutsch. Math.-Verein. 60 (1957), 59-77. MR 95894
- 4.
- M. P. Fourman and J. M. E. Hyland, Sheaf models for analysis, Lecture Notes in Math., vol. 753, Springer-Verlag, 1979, pp. 280-301. MR 555550
- 5.
- G. Gierz, et al, A compendium of continuous lattices, Springer-Verlag, 1980. MR 614752
- 6.
- A. M. Gleason, Projective topological spaces, Illinois J. Math. 2 (1958), 482-489. MR 121775
- 7.
- D. B. Goodner, Projections in normed linear spaces, Trans. Amer. Math. Soc. 69 (1950), 89-108. MR 37465
- 8.
- A Grothendieck and J. Dieudonné, Éléments de géométrie algébrique. I, Inst. Hautes. Études Sci. Publ. Math. No. 4 (1960).
- 9.
- M. Hasumi, The extension property of complex Banach spaces, Tôhoku Math. J. 10 (1958), 135-142. MR 100781
- 10.
- M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc. 142 (1969), 43-60. MR 251026
- 11.
- J. Isbell, Three remarks on injective envelopes of Banach spaces, J. Math. Anal. Appl. 27 (1969), 516-518. MR 251512
- 12.
- J. Isbell, General functorial semantics. I, Amer. J. Math. 94 (1972), 535-596. MR 396718
- 13.
- J. Isbell, Some concrete dualities, Notices Amer. Math. Soc. 21 (1974), A567-A568.
- 14.
- R. Kaufman, A type of extension of Banach spaces, Acta Sci. Math. (Szeged) 27 (1966), 163-166. MR 205037
- 15.
- J. L. Kelley, Banach space with the extension property, Trans. Amer. Math. Soc. 72 (1952), 323-326. MR 45940
- 16.
- L. Nachbin, A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc. 68 (1950), 28-46. MR 32932
- 17.
- R. S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516-541. MR 4094
- 18.
- J. Rainwater, A note on projective resolutions, Proc. Amer. Math. Soc. 10 (1959), 734-735. MR 123290
- 19.
- Z. Semadeni, Projectivity, injectivity, and duality, Rozprawy Mat. 35 (1963). MR 154832
- 20.
- R. Sikorski, A theorem on extensions of homomorphisms, Ann. Soc. Polon. Math. 21 (1948), 332-335. MR 30935
Additional Information:
Reviewer(s):
John
Isbell
Review Information:
Journal:
Bull. Amer. Math. Soc.
11
(1984),
389-392.
DOI:
10.1090/S0273-0979-1984-15323-0
PII:
S 0273-0979(1984)15323-0
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