A Π-algebra spectral sequence for function spaces

Dwyer, W. G.; Kan, D. M.; Smith, J. H.; Stover, C. R.

doi:10.1090/S0002-9939-1994-1169024-0

A $\Pi$-algebra spectral sequence for function spaces
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by W. G. Dwyer, D. M. Kan, J. H. Smith and C. R. Stover PDF

Proc. Amer. Math. Soc. 120 (1994), 615-621 Request permission

Abstract:

We construct a new kind of spectral sequence which is in some ways analogous to the unstable Adams spectral sequence. This new spectral sequence converts primary information about the homotopy groups of two spaces $K$ and $L$ into information about the homotopy groups of the function space of maps from $K$ to $L$.

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