Let M be a compact topological manifold of  with connected boundary  Let  be the simplicial group of homeomorphisms and denote the interior of M by  Let  be the restriction map and let  be the homotopy fiber of f over the  We proved that  is isomorphic to  where  is the concordance space

open manifolds, homeomorphisms of open manifolds, tame ends, manifold approximate fibrations, controlled homeomorphisms

Received: October 8, 2024; Accepted: November 12, 2024; Published: December 24, 2024

How to cite this article: Nancy de Souza Cardim and Mário Olivero Marques da Silva, An isotopy extension on open manifolds, JP Journal of Geometry and Topology 30(2) (2024), 131-141. https://doi.org/10.17654/0972415X24009

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