Book Review
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MathSciNet review:
1566653
Full text of review:
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Book Information:
Author:
Keiô Nagami
Title:
Dimension Theory
Additional book information:
Volume 37 in the series Pure and Applied Mathematics, Academic Press, New York and London, 1970, 244+xi pp.
R. D. Anderson and J. E. Keisler, An example in dimension theory, Proc. Amer. Math. Soc. 18 (1967), 709–713. MR 215288, DOI 10.1090/S0002-9939-1967-0215288-0
V. V. Filippov, Bicompacta with distinct dimensions $\textrm {ind}$ and $\textrm {dim}$, Dokl. Akad. Nauk SSSR 192 (1970), 516–519 (Russian). MR 0266174
David W. Henderson, An infinite-dimensional compactum with no positive-dimensional compact subsets—a simpler construction, Amer. J. Math. 89 (1967), 105–121. MR 210072, DOI 10.2307/2373100
Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
Phillip A. Ostrand, Covering dimension in general spaces, General Topology and Appl. 1 (1971), no. 3, 209–221. MR 288741
E. Skljarenko, A theorem on mappings which lower the dimension, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 429–432 (Russian, with English summary). MR 149445
7. D. C. Wilson, Open mappings on manifolds and a counterexample to the Whyburn conjecture (to appear).
A. V. Zarelua, On finite-to-one mappings, Dokl. Akad. Nauk SSSR 172 (1967), 775–778 (Russian). MR 0212775
- 1.
- R. D. Anderson and J. Keisler, An example in dimension theory, Proc. Amer. Math. Soc. 18 (1967), 709-713. MR 35 #6130. MR 0215288
- 2.
- V. V. Filippov, On bicompacta with unequal dimensions ind and dim, Dokl. Akad. Nauk SSSR 192 (1970), 516-519 = Soviet Math. Dokl. 11 (1970), 687-691. MR 42 #1082. MR 266174
- 3.
- D. W. Henderson, An infinite-dimensional compactum with no positive-dimensional compact subsets a simpler construction, Amer. J. Math. 89 (1967), 105-121. MR 210072
- 4.
- W. Hurewicz and H. Wallman, Dimension theory, Princeton Math. Series, vol. 4, Princeton Univ. Press, Princeton, N.J., 1941. MR 3, 312. MR 6493
- 5.
- P. A. Ostrand, Covering dimension in general spaces, General Topology and Appl. 1 (1971), 209-221. MR 288741
- 6.
- E. G. Skljarenko, A theorem on mappings which lower the dimension, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 10 (1962), 429-432. (Russian) MR 26 #6933. MR 149445
- 7.
- D. C. Wilson, Open mappings on manifolds and a counterexample to the Whyburn conjecture (to appear).
- 8.
- A. V. Zarelua, Finitely-multiple mappings, Dokl. Akad. Nauk SSSR 172 (1967), 775-778 = Soviet Math. Dokl. 8 (1967), 172-175. MR 35 #3640. MR 212775
Review Information:
Reviewer:
James Keesling
Journal:
Bull. Amer. Math. Soc.
78 (1972), 953-956
DOI:
https://doi.org/10.1090/S0002-9904-1972-13063-5
