I am from physics community. Recently I am quite confused by Cantor set. The analysis book tells me that Cantor set has measure zero. But meanwhile, you can use small box to cover it, and obtain the box-counting dimension to be $\log_3 2$. Is there some controversy here ?
2026-03-27 23:48:38.1774655318
Cantor set is zero measure but has finite fractal dimension?
146 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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