×

Book review of: Stephen Leon Lipscomb, Fractals and universal spaces in dimension theory. (English) Zbl 1292.00023

Review of [Zbl 1210.28002].

MSC:

00A17 External book reviews
28-02 Research exposition (monographs, survey articles) pertaining to measure and integration
54-02 Research exposition (monographs, survey articles) pertaining to general topology
28A80 Fractals
28A78 Hausdorff and packing measures
54C25 Embedding
54F45 Dimension theory in general topology

Citations:

Zbl 1210.28002
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ryszard Engelking, Teoria wymiaru, Państwowe Wydawnictwo Naukowe, Warsaw, 1977 (Polish). Biblioteka Matematyczna, Tom 51. [Mathematics Library, Vol. 51]. Ryszard Engelking, Dimension theory, North-Holland Publishing Co., Amsterdam-Oxford-New York; PWN — Polish Scientific Publishers, Warsaw, 1978. Translated from the Polish and revised by the author; North-Holland Mathematical Library, 19.
[2] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[3] Neal Koblitz, \?-adic numbers, \?-adic analysis, and zeta-functions, 2nd ed., Graduate Texts in Mathematics, vol. 58, Springer-Verlag, New York, 1984. · Zbl 0364.12015
[4] K. Menger, Allgemeine Räume und Cartesische Räume, Proc. Akad. Wetensch. Amst. 29 (1926), 476-482.
[5] Georg Nöbeling, Über eine \?-dimensionale Universalmenge im \?²\(^{n}\)\(^{+}\)\textonesuperior , Math. Ann. 104 (1931), no. 1, 71 – 80 (German). · JFM 56.0506.02
[6] 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. · Zbl 1037.54014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.