Rational formality of mapping spaces
classification
🧮 math.AT
keywords
finitemappingrationalcomplexesconnectivitydimensiondimensionale-poirrier
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Let X and Y be finite nilpotent CW complexes with dimension of X less than the connectivity of Y. Generalizing results of Vigu\'e-Poirrier and Yamaguchi, we prove that the mapping space Map(X,Y) is rationally formal if and only if Y has the rational homotopy type of a finite product of odd dimensional spheres.
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