Bulletin of the American Mathematical Society

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Book Information:

Author: 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.

Henry B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc. 70 (1964), 723–726. MR 184060, DOI 10.1090/S0002-9904-1964-11189-7

2.

M. Coste, Une approche logique des théories définissables par limites projectives finies, Séminaire Benabou, Univ. Paris-Nord, 1976.

Charles Ehresmann, Gattungen von lokalen Strukturen, Jber. Deutsch. Math.-Verein. 60 (1957), no. Abt. 1, 49–77 (German). MR 95894

M. P. Fourman and J. M. E. Hyland, Sheaf models for analysis, Applications of sheaves (Proc. Res. Sympos. Appl. Sheaf Theory to Logic, Algebra and Anal., Univ. Durham, Durham, 1977) Lecture Notes in Math., vol. 753, Springer, Berlin, 1979, pp. 280–301. MR 555550

Gerhard Gierz, Karl Heinrich Hofmann, Klaus Keimel, Jimmie D. Lawson, Michael W. Mislove, and Dana S. Scott, A compendium of continuous lattices, Springer-Verlag, Berlin-New York, 1980. MR 614752

Andrew M. Gleason, Projective topological spaces, Illinois J. Math. 2 (1958), 482–489. MR 121775

Dwight B. Goodner, Projections in normed linear spaces, Trans. Amer. Math. Soc. 69 (1950), 89–108. MR 37465, DOI 10.1090/S0002-9947-1950-0037465-6

8.

A Grothendieck and J. Dieudonné, Éléments de géométrie algébrique. I, Inst. Hautes. Études Sci. Publ. Math. No. 4 (1960).

Morisuke Hasumi, The extension property of complex Banach spaces, Tohoku Math. J. (2) 10 (1958), 135–142. MR 100781, DOI 10.2748/tmj/1178244708

M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc. 142 (1969), 43–60. MR 251026, DOI 10.1090/S0002-9947-1969-0251026-X

John R. Isbell, Three remarks on injective envelopes of Banach spaces, J. Math. Anal. Appl. 27 (1969), 516–518. MR 251512, DOI 10.1016/0022-247X(69)90131-0

John R. Isbell, General functorial semantics. I, Amer. J. Math. 94 (1972), 535–596. MR 396718, DOI 10.2307/2374638

13.

J. Isbell, Some concrete dualities, Notices Amer. Math. Soc. 21 (1974), A567-A568.

R. Kaufman, A type of extension of Banbach spaces, Acta Sci. Math. (Szeged) 27 (1966), 163–166. MR 205037

J. L. Kelley, Banach spaces with the extension property, Trans. Amer. Math. Soc. 72 (1952), 323–326. MR 45940, DOI 10.1090/S0002-9947-1952-0045940-5

Leopoldo Nachbin, A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc. 68 (1950), 28–46. MR 32932, DOI 10.1090/S0002-9947-1950-0032932-3

R. S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516–541. MR 4094, DOI 10.1090/S0002-9947-1940-0004094-3

John Rainwater, A note on projective resolutions, Proc. Amer. Math. Soc. 10 (1959), 734–735. MR 123290, DOI 10.1090/S0002-9939-1959-0123290-8

Z. Semadeni, Projectivity, injectivity and duality, Rozprawy Mat. 35 (1963), 47. MR 154832

Roman Sikorski, A theorem on extension of homomorphisms, Ann. Soc. Polon. Math. 21 (1948), 332–335 (1949). MR 0030935

1.

H. B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc. 70 (1964), 723-726. MR 0184060

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