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Book Review
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Book Information
Author(s):
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
References:
- 1.
- J. Adámek, Theory of mathematical structures, D. Reidel Publishing Co., Dordrecht, Boston, Lancaster, 1983. MR 735079
- 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.
Additional Information:
Reviewer(s):
Walter
Tholen
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
149-152.
DOI:
10.1090/S0273-0979-1989-15799-6
PII:
S 0273-0979(1989)15799-6
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