Bulletin of the American Mathematical Society

MathSciNet review: 1567783
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Book Information:

Author: Gerhard Preuss
Title: Theory of topological structures. An approach to categorical topology
Additional book information: Translated by Andreas Behling, Mathematics and its Applications, D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1988, xii + 304 pp., $69.00. ISBN 90-277-2627-2.

Jiří Adámek, Theory of mathematical structures, D. Reidel Publishing Co., Dordrecht, 1983. MR 735079

A. V. Arhangel′skiĭ and Richard Wiegandt, Connectednesses and disconnectednesses in topology, General Topology and Appl. 5 (1975), 9–33. MR 367920

Zdeněk Frolík, On the descriptive theory of sets, Czechoslovak Math. J. 13(88) (1963), 335–359 (English, with Russian summary). MR 162215

Horst Herrlich, A concept of nearness, General Topology and Appl. 4 (1974), 191–212. MR 350701

H. Herrlich, Categorical topology 1971–1981, General topology and its relations to modern analysis and algebra, V (Prague, 1981) Sigma Ser. Pure Math., vol. 3, Heldermann, Berlin, 1983, pp. 279–383. MR 698425

Horst Herrlich, Topologie. II, Berliner Studienreihe zur Mathematik [Berlin Study Series on Mathematics], vol. 3, Heldermann Verlag, Berlin, 1988 (German). Uniforme Räume. [Uniform spaces]. MR 950372

J. R. Isbell, Uniform spaces, Mathematical Surveys, No. 12, American Mathematical Society, Providence, R.I., 1964. MR 0170323

John Isbell, General function spaces, products and continuous lattices, Math. Proc. Cambridge Philos. Soc. 100 (1986), no. 2, 193–205. MR 848846, DOI 10.1017/S0305004100066020

Peter T. Johnstone, Stone spaces, Cambridge Studies in Advanced Mathematics, vol. 3, Cambridge University Press, Cambridge, 1982. MR 698074

Peter T. Johnstone, Open locales and exponentiation, Mathematical applications of category theory (Denver, Col., 1983) Contemp. Math., vol. 30, Amer. Math. Soc., Providence, RI, 1984, pp. 84–116. MR 749770, DOI 10.1090/conm/030/749770

M. Katětov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carolinae 6 (1965), 257–278. MR 193608

John W. Tukey, Convergence and Uniformity in Topology, Annals of Mathematics Studies, No. 2, Princeton University Press, Princeton, N. J., 1940. MR 0002515

13.

A. Weil, Sur les espaces à structure uniforme et sur la topologie générale, Hermann, Paris, 1937.

1.

J. Adámek, Theory of mathematical structures, D. Reidel Publishing Co., Dordrecht, Boston, Lancaster, 1983. MR 0735079

2.

A. V. Arhangelskii and R. Wiegandt, Connectedness and disconnectedness in topology, Topology Appl. 5 (1975), 9-33. MR 367920

3.

Z. Frolik, On the descriptive theory of sets, Czech. Math. J. 13 (1963), 335-359. MR 162215

4.

H. Herrlich, A concept of nearness, Topology Appl. 4 (1974), 191-212. MR 350701

5.

H. Herrlich, Categorical topology 1971-1981, Proc. Fifth. Prague Top. Sympos., 1981, Heldermann Verlag, Berlin, 1983, pp. 279-383. MR 698425

6.

H. Herrlich, Topologie II: Uniforme Räume, Heldermann Verlag, Berlin 1988. MR 950372

7.

J. R. Isbell, Uniform spaces, Math. Surveys no. 12, Amer. Math. Soc. Providence, R. I., 1964. MR 170323

8.

J. R. Isbell, General function spaces, products and continuous lattices, Math. Proc. Cambridge Philos. Soc. 100 (1986), 193-205. MR 848846

9.

P. T. Johnstone, Stone spaces, Cambridge Univ. Press, Cambridge, 1982. MR 698074

10.

P. T. Johnstone, Open locales and exponentiation, Contemporary Math., vol. 30, Amer. Math. Soc. Providence, R. I., 1984, pp. 84-116. MR 749770

11.

M. Katětov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carolin. 6 (1965), 257-278. MR 193608

12.

J. W. Tukey, Convergence and uniformity in topology, Princeton Univ. Press, Princeton, N. J., 1940. MR 2515

13.

A. Weil, Sur les espaces à structure uniforme et sur la topologie générale, Hermann, Paris, 1937.