Book Review
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MathSciNet review:
2566450
Full text of review:
PDF
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Book Information:
Author:
Stephen Leon Lipscomb
Title:
Fractals and universal spaces in dimension theory
Additional book information:
Springer Monographs in Mathematics,
Springer,
New York,
2009,
xviii+241 pp.,
ISBN 978-0-387-85493-9 (print), 978-0-387-85494-6 (online),
US$79.95,
hardcover
Ryszard Engelking, Dimension theory, North-Holland Mathematical Library, vol. 19, North-Holland Publishing Co., Amsterdam-Oxford-New York; PWN—Polish Scientific Publishers, Warsaw, 1978. Translated from the Polish and revised by the author. MR 0482697
Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
Neal Koblitz, $p$-adic numbers, $p$-adic analysis, and zeta-functions, 2nd ed., Graduate Texts in Mathematics, vol. 58, Springer-Verlag, New York, 1984. MR 754003, DOI 10.1007/978-1-4612-1112-9
K. Menger, Allgemeine Räume und Cartesische Räume, Proc. Akad. Wetensch. Amst. 29 (1926), 476–482.
Georg Nöbeling, Über eine $n$-dimensionale Universalmenge im $R^{2n+1}$, Math. Ann. 104 (1931), no. 1, 71–80 (German). MR 1512650, DOI 10.1007/BF01457921
James Perry and Stephen Lipscomb, The generalization of Sierpiński’s triangle that lives in 4-space, Houston J. Math. 29 (2003), no. 3, 691–710. MR 1998159
References
- R. Engelking, Dimension Theory. North-Holland, New York, 1978. MR 0482697 (58:2753b)
- W. Hurewicz and H. Wallman, Dimension Theory. Princeton University Press, Princeton, NJ, 1941. MR 0006493 (3:312b)
- N. Koblitz, $p$-adic Numbers, $p$-adic Analysis, and Zeta-Functions. Springer-Verlag, New York, 1984. MR 754003 (86c:11086)
- K. Menger, Allgemeine Räume und Cartesische Räume, Proc. Akad. Wetensch. Amst. 29 (1926), 476–482.
- G. Nöbeling, Über eine $n$-dimensionale Universalmenge im $R_{2n+1}$, Math. Ann. 104 (1931), 71–80. MR 1512650
- J. C. Perry and S. L. Lipscomb, The generalization of Sierpinski’s triangle that lives in $4$-space, Houston J. Math. 29 (2003), 691–710. MR 1998159 (2004i:54015)
Review Information:
Reviewer:
G. A. Edgar
Affiliation:
The Ohio State University
Email:
edgar@math.ohio-state.edu
Journal:
Bull. Amer. Math. Soc.
47 (2010), 163-170
DOI:
https://doi.org/10.1090/S0273-0979-09-01263-4
Published electronically:
May 7, 2009
Review copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
