Is a discrete space locally connected? locally path connected? Is N with the complement finite topology locally connected? path connected?
a) Discrete space: Yes; locally connected: Yes; locally path connected: Yes.
b) Discrete space: Yes; locally connected: No; locally path connected: No.
c) Discrete space: No; locally connected: Yes; locally path connected: Yes.
d) Discrete space: No; locally connected: No; locally path connected: No."