Problem 1336 (difficulty: 6/10)

For any \(\displaystyle \varepsilon>0\) divide the \(\displaystyle n\)-dimensinal unit cube into an open and closed part in such a way that the inner Jordan measure of each is less than \(\displaystyle \varepsilon\).

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government