Pull-Back of Metric Currents and Homological Boundedness of BLD-Elliptic Spaces
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Pankka , P & Soultanis , E 2019 , ' Pull-Back of Metric Currents and Homological Boundedness of BLD-Elliptic Spaces ' , Analysis and Geometry in Metric Spaces , vol. 7 , no. 1 , pp. 212-249 . https://doi.org/10.1515/agms-2019-0011
| Title: | Pull-Back of Metric Currents and Homological Boundedness of BLD-Elliptic Spaces |
| Author: | Pankka, Pekka; Soultanis, Elefterios |
| Contributor: | University of Helsinki, Geometric Analysis and Partial Differential Equations |
| Date: | 2019-03 |
| Language: | eng |
| Number of pages: | 38 |
| Belongs to series: | Analysis and Geometry in Metric Spaces |
| ISSN: | 2299-3274 |
| URI: | http://hdl.handle.net/10138/310769 |
| Abstract: | Using the duality of metric currents and polylipschitz forms, we show that a BLD-mappingf : X -> Y between oriented cohomology manifolds X and Y induces a pull-back operator f * : M-k,M-loc(Y) -> M-k,M-loc(X) between the spaces of metric k-currents of locally finite mass. For proper maps, the pull-back is a right-inverse (up to multiplicity) of the push forward f(*): M-k,M-loc(X) -> M-k,M-loc(Y). As an application we obtain a non-smooth version of the cohomological boundedness theorem of Bonk and Heinonen for locally Lipschitz contractible cohomology n-manifolds X admitting a BLD-mapping R-n -> X. |
| Subject: |
Metric currents
BLD-mappings QUASI-REGULAR MAPPINGS BRANCHED COVERS 111 Mathematics |
| Rights: |
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