I'm not really actually good at homotopy theory. I'll be honest, as soon as diagrams started looking like hexagrams with all them H-spaces I started to die a little, and there’s a reason I never got a PhD.
Post by twetch#21877
But thing as you mentioned exponentiation, one thing I always thought was nifty was the way Quantum mechanics really lives in some category that’s more the like the exponentiation of Hilb. Where categorical product is tensor product. Mixed states.
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who needs a PhD? i'm actually just diving into homotopy but it seems to be quite interesting for abstract definitions of continuous maps.
that's an interesting theory. i wonder what the logarithmiation (yes) of a Hilbert space would be in this case?