[del_operator]

Well, this is how I learned Manolescu left UCLA and is now at Stanford

[del_operator]

Also, yet another article that makes me rethink my choice to take Homological Algebra with no real algebraic topology coursework. Merkurjev was teaching so at least I have all his notes. It kind of forced me to give up any concrete basis and just handle abstract tools.

[spekcular]

I urge you to read Hatcher's book (or better, tom Dieck's book published by EMS) immediately. I can't even imagine learning homological algebra without a bunch of concrete topological examples to compute with. That sounds confusing.

[xyzzyz]

Homological algebra without algebraic topology or geometry sounds like the driest possible exercise in pointlessness.

[ABeeSea]

If you already understand homological algebra, Peter May’s AT book might get you where you want to be quickly. It’s free on his website.

[mathematicaster]

good advice