Question 1
Which statement is the definition of a connected topological space?
Question 2
Which subset of $\mathbb{R}$ is connected in the usual topology?
Question 3
If $f:X\to Y$ is continuous and $X$ is connected, what must be true about $f(X)$?
Question 4
Which statement about path connectedness is always true?
Question 5
What is a path in a topological space $X$?
