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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): 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., (print, hardcover) US$79.95, ISBN 978-0-387-85493-9 ; (online) ISBN 978-0-387-85494-6


References:

1.
R. Engelking, Dimension Theory. North-Holland, New York, 1978. MR 0482697 (58:2753b)

2.
W. Hurewicz and H. Wallman, Dimension Theory. Princeton University Press, Princeton, NJ, 1941. MR 0006493 (3:312b)

3.
N. Koblitz, $ p$-adic Numbers, $ p$-adic Analysis, and Zeta-Functions. Springer-Verlag, New York, 1984. MR 754003 (86c:11086)

4.
K. Menger, Allgemeine Räume und Cartesische Räume, Proc. Akad. Wetensch. Amst. 29 (1926), 476-482.

5.
G. Nöbeling, Über eine $ n$-dimensionale Universalmenge im $ R_{2n+1}$, Math. Ann. 104 (1931), 71-80. MR 1512650

6.
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)


Additional Information:

Reviewer(s):
G. A. Edgar
Affiliation: The Ohio State University
Email: edgar@math.ohio-state.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 47 (2010), 163-170.

MSC (2000): Primary 54F45; Secondary 28A80
DOI: 10.1090/S0273-0979-09-01263-4
PII: S 0273-0979(09)01263-4
Posted: May 7, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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