Bulletin of the American Mathematical Society

MathSciNet review: 1566941
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Kevin A. Broughan
Title: Invariants for real-generated uniform topological and algebraic categories
Additional book information: Lecture Notes in Mathematics, No. 491, Springer-Verlag, Berlin, Heidelberg, New York, 1975, x + 197 pp., $8.20.

K. A. Broughan, A metric characterizing Čech dimension zero, Proc. Amer. Math. Soc. 39 (1973), 437–440. MR 314012, DOI 10.1090/S0002-9939-1973-0314012-3

2.

E. Čech, Sur la dimension des espaces parfaitement normaux, Bull. Int. Acad. Prague 33 (1932), 38-55.

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

Kiiti Morita, Normal families and dimension theory for metric spaces, Math. Ann. 128 (1954), 350–362. MR 65906, DOI 10.1007/BF01360142

Jun-iti Nagata, Modern dimension theory, Bibliotheca Mathematica, Vol. VI, Interscience Publishers John Wiley & Sons, Inc., New York, 1965. Edited with the cooperation of the “Mathematisch Centrum” and the “Wiskundig Genootschap” at Amsterdam. MR 0208571

Phillip A. Ostrand, A conjecture of J. Nagata on dimension and metrization, Bull. Amer. Math. Soc. 71 (1965), 623–625. MR 177392, DOI 10.1090/S0002-9904-1965-11364-7

1.

K. A. Broughan, A metric characterizing Čech dimension zero, Proc. Amer. Math. Soc. 39 (1973), 437-440. MR 47 #2564. MR 0314012

2.

E. Čech, Sur la dimension des espaces parfaitement normaux, Bull. Int. Acad. Prague 33 (1932), 38-55.

3.

J. R. Isbell, Uniform spaces, Math. Surveys, no. 12, Amer. Math. Soc. Providence, R. I., 1964. MR 30 #561. MR 170323

4.

K. Morita, Normal families and dimension theory for metric spaces, Math. Ann. 128 (1954), 350-362. MR 16, 501. MR 65906

5.

J. I. Nagata, Modern dimension theory, Bibliotheca Mathematica, vol. VI, Interscience, New York, 1965. MR 34 #8380. MR 208571

6.

P. Ostrand, A conjecture of J. Nagata on dimension and metrization, Bull. Amer. Math. Soc. 71 (1965), 623-625. MR 31 # 1655. MR 177392