Literature Cited
F. Hausdorff, “Dimension und äusseres Mass,” Math. Ann.,79, 157–179 (1919).
C. A. Rogers, Hausdorff Measures, Cambridge Univ. Press, London (1970).
L. S. Pontryagin, “Sur une hypothese fondamentale de la theorie de la dimension,” C. R. Acad. Sci. Paris,190, 1105–1107 (1930).
P. S. Aleksandrov, Introduction to Homological Dimension Theory [in Russian], Nauka, Moscow (1975).
K. Hatano, “Notes on Hausdorff dimensions of Cartesian product sets,” Hiroshima Math. J.,1, 17–25 (1971).
P. A. P. Moran, “Additive functions of intervals and Hausdorff measure,” Proc. Cambridge Philos. Soc.,42, 15–23 (1946).
Additional information
Leningrad Institute of Textile Industry, Leningrad. A. A. Zhdanov Irkutsk State University, Irkutsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 1, pp. 94–99, January–February, 1981.
Rights and permissions
About this article
Cite this article
Zakharov, I.P., Portnov, L.E. Hausdorff dimensions of cartesian products. Sib Math J 22, 68–73 (1981). https://doi.org/10.1007/BF00968201
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968201