Math Help - Sets > Metric Space > Euclidean Space

1. Sets > Metric Space > Euclidean Space

How do sets become Metric Space?

How does Metric Space make Euclidean Space?

Do you know where I could find a good explanation?

2. Originally Posted by lrl4565
How do sets become Metric Space?

How does Metric Space make Euclidean Space?

Do you know where I could find a good explanation?
This question really doesn't make sense.

A set becomes a metric space by defining a suitable metric on it.

A metric space doesn't "make" a Euclidean space. That is just a particular exampe.

3. Alright, a Euclidean space is a type of metric space. What makes a metric space Euclidean?

4. Originally Posted by lrl4565
Alright, a Euclidean space is a type of metric space. What makes a metric space Euclidean?
As far I know a Euclidean space is a real-coordinate space with the usual inner product and ensuing norms and metric. See here for more info and report back with any questions.