Classification of spaces of the same 𝑛-type for all 𝑛

Wilkerson, Clarence

doi:10.1090/S0002-9939-1976-0474283-2

Classification of spaces of the same $n$-type for all $n$
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Proc. Amer. Math. Soc. 60 (1976), 279-285 Request permission

Abstract:

The set of homotopy equivalence classes of CW-spaces Y for which the Postnikov approximations are homotopy equivalent to those of a given space X is shown to be in one-to-one correspondence with ${\underleftarrow {\lim }^1}$ of a tower of homotopy automorphism groups.

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Rational homotopy theory

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