Lecture 23 (Topology)

Which definition of path connectedness matches the one given in the lecture?

1. A.Every open cover of X has a finite subcover
2. B.X cannot be written as the union of two disjoint non-empty open sets
3. C.For any two points p, q in X there exists a continuous function from [0, 1] to X starting at p and ending at q
4. D.Every continuous real-valued function on X attains both a maximum and a minimum value