46.8k views
4 votes
The interior of the Cantor set is empty.
a.True
b.Flase

User Fabulaspb
by
8.0k points

1 Answer

3 votes

Final answer:

The interior of the Cantor set is empty.

Step-by-step explanation:

The statement that the interior of the Cantor set is empty is true.

The Cantor set is a classic example in mathematics that is constructed by repeatedly removing the middle third of a line segment.

As a result of this iterative process, the Cantor set consists of an infinite number of points, but none of these points are isolated, meaning that there are no open intervals or intervals with interior points within the set. Therefore, the interior of the Cantor set is empty.

User FelipeDurar
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories