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math.AT2014
The coincidence of the current homology and the measure homology via a new topology on spaces of Lipschitz maps
Ayato Mitsuishi
We consider the category of all locally Lipschitz contractible metric spaces and all locally Lipschitz maps, which is a wide class of metric spaces, including all finite dimensiona…
math.AT2013★ 6 cited
The coincidence of the homologies of integral currents and of integral singular chains, via cosheaves
Ayato Mitsuishi
We consider the notion of metric spaces being locally Lipschitz contractible introduced by Yamaguchi, and a category of metric spaces satisfying this condition. Many objects in met…