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Homotopy Theory of the Suspensions of the Projective Plane
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In this text the homotopy theory of the suspensions of the real projective plane is largely investigated. The homotopy groups are computed up to certain range. The decompositions of the self smashes and the loop spaces are studied with some applications to the Stiefel manifolds.Preliminary and the classical homotopy theory; Decompositions of self smash products; Decompositions of the loop spaces; The homotopy groups $pi {n+r}(Sigmanmathbb{R}mathrm{P}2)$ for $ngeq 2$ and $rleq8$; The homotopy theory of $Sigmamathbb{R}mathrm{P}2$; Bibliography; Preliminary and the classical homotopy theory; Deco...
In this text the homotopy theory of the suspensions of the real projective plane is largely investigated. The homotopy groups are computed up to certain range. The decompositions of the self smashes and the loop spaces are studied with some applications to the Stiefel manifolds.Preliminary and the classical homotopy theory; Decompositions of self smash products; Decompositions of the loop spaces; The homotopy groups $pi {n+r}(Sigmanmathbb{R}mathrm{P}2)$ for $ngeq 2$ and $rleq8$; The homotopy theory of $Sigmamathbb{R}mathrm{P}2$; Bibliography; Preliminary and the classical homotopy theory; Decompositions of self smash products; Decompositions of the loop spaces; The homotopy groups $pi {n+r}(Sigmanmathbb{R}mathrm{P}2)$ for $ngeq 2$ and $rleq8$; The homotopy theory of $Sigmamathbb{R}mathrm{P}2$; Bibliography