AN ISOTOPY EXTENSION ON OPEN MANIFOLDS

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

Authors

Publication Details

Journal
JP Journal of Geometry and Topology
Published
2024-12-24
DOI
https://doi.org/10.17654/0972415x24009
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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AN ISOTOPY EXTENSION ON OPEN MANIFOLDS

Nancy de Souza Cardim, Mário Olivero Marques da Silva
JP Journal of Geometry and Topology
Homotopy and Cohomology in Algebraic Topology
article

AN ISOTOPY EXTENSION ON OPEN MANIFOLDS

Nancy de Souza Cardim, Mário Olivero Marques da Silva
article en

Abstract

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

JP Journal of Geometry and TopologyVol. 32(2)
Openalex Percentile: Top 60%
Homotopy and Cohomology in Algebraic Topology
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