Topological space, Euclidean space, and metric space: what are the difference?

michonamona

Thank you for your replies.

Would it be safe to make the following generalization?

topological space--->metric space---->euclidean space

This means that every euclidean space is a metric space and every metric space is a topological space. By transitivity, every euclidean space is a topological space.

michonamona	Thank you for your replies. Would it be safe to make the following generalization? topological space--->metric space---->euclidean space This means that every euclidean space is a metric space and every metric space is a topological space. By transitivity, every euclidean space is a topological space.