I've studied some differential geometry and would like to start reading through some more advanced texts on the subject but they all require knowledge of topology which I haven't taken a course in.
Can anyone recommend a good introductory book in topology that is biased toward a future study of differential geometry (or even algebraic geometry)? So it should cover things like manifolds and fibre bundles. I know the standard reference is Munkres's Topology but taking a look at the index I didn't see anything on fibre/ vector/ tangent bundles so I don't think that's what I'd want. What are your recommendations, math.SE?