Demension and measure
HTML articles powered by AMS MathViewer
- by Jussi Väisälä PDF
- Proc. Amer. Math. Soc. 76 (1979), 167-168 Request permission
Abstract:
We give a new characterization, based on Hausdorff measure, for the demension of a compact set in a euclidean space.References
- Robert D. Edwards, Demension theory. I, Geometric topology (Proc. Conf., Park City, Utah, 1974) Lecture Notes in Math., Vol. 438, Springer, Berlin, 1975, pp. 195–211. MR 0394678
- Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
- J. Luukkainen and J. Väisälä, Elements of Lipschitz topology, Ann. Acad. Sci. Fenn. Ser. A I Math. 3 (1977), no. 1, 85–122. MR 515647, DOI 10.5186/aasfm.1977.0315
- M. A. Štan′ko, Imbedding of compacta in euclidean space, Mat. Sb. (N.S.) 83 (125) (1970), 234–255 (Russian). MR 0271923, DOI 10.1070/SM1970v012n02ABEH000919
- M. A. Štan′ko, Solution of Menger’s problem in the class of compacta, Dokl. Akad. Nauk SSSR 201 (1971), 1299–1302 (Russian). MR 0293607
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 167-168
- MSC: Primary 54F45; Secondary 28A75, 54C25
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534412-1
- MathSciNet review: 534412