14th
I love topology
We’re learning about CW complexes and they tickle this very particular part of my math-brain that I’ve tried to talk about before (“I am a sucker for homomorphisms,” for instance).
I don’t know how to put words on what it is that I like so much about thinking about CW complexes. I know there’s something inherently satisfying about understanding the same structure in two different ways, or conversely understanding that two different structures, when looked at through the right filter, are really the same. I tend to think that that’s what math IS for me, but I wonder if that’s really what algebra is. If I knew more analysis, maybe I would think differently.
But I think there’s something more specific that quotient topologies, projective space, and CW complexes have in common that makes me like them especially much. I can’t catch it long enough to look at it, though.
