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skd
2:28 AM
what is the minimial of cells required to form a p-local type n complex? i've been told that it's 2^n (i assume at p=2), but i don't know why this is true
nvm i see why this is true, the generalized moore spectra should give a sharp bound
but they definitely don't give the best total dimension, right?
 
 
8 hours later…
10:54 AM
This question has come up here before, and I don't recall the argument that the cofiber of a (self-)map of spectra of type n cannot somehow jump to be of type n + k for k > 1. generalized Moore spectra realize the growth formula you've been told, but they don't demonstrate minimality on their own
 
 
5 hours later…
skd
3:26 PM
@EricPeterson this is lemma 1.2.4 of hopf.math.purdue.edu/Hovey/vnelements.pdf
 

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