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- W4289548792 abstract "Using the duality of metric currents and polylipschitz forms, we show that a BLD-mapping $fcolon Xto Y$ between oriented cohomology manifolds $X$ and $Y$ induces a pull-back operator $f^ast colon M_{k,loc}(Y) to M_{k,loc}(X)$ 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 $f_ast colon M_{k,loc}(X)to M_{k,loc}(Y)$. 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 $mathbb{R}^n to X$." @default.
- W4289548792 created "2022-08-03" @default.
- W4289548792 creator A5024411845 @default.
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- W4289548792 date "2018-09-09" @default.
- W4289548792 modified "2023-09-24" @default.
- W4289548792 title "Pull-back of metric currents and homological boundedness of BLD-elliptic spaces" @default.
- W4289548792 doi "https://doi.org/10.48550/arxiv.1809.03009" @default.
- W4289548792 hasPublicationYear "2018" @default.
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