On the groups $\Theta^{\mathcal{F}}_n$ of a sphere

S. Dragotti; G. Magro; L. Parlato

Displaying similar documents to “On the groups $Θ_{n}^{F}$ of a sphere”

On the suspension homomorphism

S. Dragotti, G. Magro, L. Parlato (2002)

Bollettino dell'Unione Matematica Italiana

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In this paper we investigate the conditions for the suspension homomorphism $s : Θ_{r - 1}^{F} (S^{n - 1}, x_{0}) \to Θ_{r}^{F} (S^{n}, x_{0})$ is onto or an isomorphism.

On the topological structure of compact 5-manifolds

Alberto Cavicchioli, Fulvia Spaggiari (1993)

Commentationes Mathematicae Universitatis Carolinae

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We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let $M$ be a closed connected orientable smooth $5$ -manifold with free fundamental group. Then we prove that the number of distinct smooth $5$ -manifolds homotopy equivalent to $M$ equals the $2$ -nd Betti number (mod $2$ ) of $M$ .