So, I'm currently at the point of learning about derivatives and integrals in Elementary Real Analysis, I'm also learning Point set topology and I've already gone over the main definition of topology, basis, subspace topology, quotient topology, product topology up to continuous functions thus far. I also understand elementary linear algebra and know enough Abstract Algebra.
My question is whether or not I can start reading Differential Topology by Guillemin and Pollack. It states a full year of analysis and semester of linear algebra but I'm not exactly sure if my current level understanding is sufficient to start studying differential topology.
If not should I start going over Hatcher's book on Algebraic Topology? I've read that knowing algebraic topology before differential topology is a good idea.