Metric Spaces – Lecture 16 (Topology)

A function f: X → Y between topological spaces is called an embedding when:

1. A.It is continuous and surjective onto Y
2. B.It maps X homeomorphically onto f(X), viewed as a subspace of Y
3. C.It maps open sets in X to open sets in Y
4. D.It preserves the cardinality of every open cover