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Bi-Lipschitz maps and the category of approximate resolutions

Takahisa Miyata
Tadashi Watanabe

Puni tekst: engleski, pdf (948 KB) str. 129-155 preuzimanja: 45* citiraj
APA 6th Edition
Miyata, T. i Watanabe, T. (2003). Bi-Lipschitz maps and the category of approximate resolutions. Glasnik matematički, 38 (1), 129-155. Preuzeto s https://hrcak.srce.hr/1340
MLA 8th Edition
Miyata, Takahisa i Tadashi Watanabe. "Bi-Lipschitz maps and the category of approximate resolutions." Glasnik matematički, vol. 38, br. 1, 2003, str. 129-155. https://hrcak.srce.hr/1340. Citirano 05.12.2021.
Chicago 17th Edition
Miyata, Takahisa i Tadashi Watanabe. "Bi-Lipschitz maps and the category of approximate resolutions." Glasnik matematički 38, br. 1 (2003): 129-155. https://hrcak.srce.hr/1340
Harvard
Miyata, T., i Watanabe, T. (2003). 'Bi-Lipschitz maps and the category of approximate resolutions', Glasnik matematički, 38(1), str. 129-155. Preuzeto s: https://hrcak.srce.hr/1340 (Datum pristupa: 05.12.2021.)
Vancouver
Miyata T, Watanabe T. Bi-Lipschitz maps and the category of approximate resolutions. Glasnik matematički [Internet]. 2003 [pristupljeno 05.12.2021.];38(1):129-155. Dostupno na: https://hrcak.srce.hr/1340
IEEE
T. Miyata i T. Watanabe, "Bi-Lipschitz maps and the category of approximate resolutions", Glasnik matematički, vol.38, br. 1, str. 129-155, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/1340. [Citirano: 05.12.2021.]

Sažetak
In this paper we consider biLipschitz maps between compact spaces with the metrics which are induced by given approximate resolutions. More precisely, we characterize biLipschitz maps in terms of conditions on any approximate resolutions of the maps. We then show that the box-counting dimension for approximate resolutions which was introduced earlier is invariant under approximate maps corresponding to biLipschitz maps. Moreover, we construct categories whose objects are approximate resolutions and in which the box-counting dimension is invariant.

Ključne riječi
Approximate resolution; biLipschitz map; Lipschitz map; box-counting dimension; category

Hrčak ID: 1340

URI
https://hrcak.srce.hr/1340

Posjeta: 206 *