Timeline for Continuous injection of metric ball into Euclidean ball
Current License: CC BY-SA 4.0
4 events
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Jan 21, 2019 at 11:33 | comment | added | Taras Banakh | It is well-known that a compact metric space $X$ admits a continuous injection into some Euclidean space if and only if $X$ has finite topological dimension. More precesely, each metrizable separable space $X$ of finite dimension $n$ admits a topological embedding to the Euclidean space $\mathbb R^{2n+1}$. | |
Jan 21, 2019 at 9:29 | comment | added | ABIM | A typo... now it's Euclidean space. | |
Jan 21, 2019 at 9:28 | history | edited | ABIM | CC BY-SA 4.0 |
added 23 characters in body
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Jan 21, 2019 at 8:46 | history | asked | ABIM | CC BY-SA 4.0 |