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On the suspension homomorphism

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

Bollettino dell'Unione Matematica Italiana

In this paper we investigate the conditions for the suspension homomorphism s : Θ r - 1 F S n - 1 , x 0 Θ r F S n , x 0 is onto or an isomorphism.

On the uniform perfectness of groups of bundle homeomorphisms

Tomasz Rybicki (2019)

Archivum Mathematicum

Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.

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