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Autor:
Loeh, Clara, Witzig, Johannes
Functorial semi-norms on singular homology measure the "size" of homology classes. A geometrically meaningful example is the $\ell^1$-semi-norm. However, the $\ell^1$-semi-norm is not universal in the sense that it does not vanish on as few classes a
Externí odkaz:
http://arxiv.org/abs/2209.12971
Autor:
Witzig, Johannes
We use the abstract setting of excisive functors in the language of $\infty$-categories to show that the best approximation to the $\ell^1$-homology functor by an excisive functor is trivial. Then we make an effort to explain the used language on a c
Externí odkaz:
http://arxiv.org/abs/2203.06120
Akademický článek
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Autor:
Löh, Clara, Witzig, Johannes
Publikováno v:
Applied Categorical Structures; Aug2024, Vol. 32 Issue 4, p1-15, 15p
Autor:
Witzig, Johannes
Let F: C → Vect be a functor from a category C to vector spaces over a normed field. A functorial semi-norm on F is a factorization of F over the forgetful functor snVect → Vect, where snVect denotes the corresponding category of semi-normed vect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbadbc3d4fc588587f91c41247ad728c