Year: 2024
Type: conference-abstract
Abstract: We use the abstract setting of excisive functors in the language of ∞ -categories to show that the best approximation to the ℓ 1 -homology functor by an excisive functor is trivial. Then we make an effort to explain the used language on a conceptual level for those who do not feel at home with ∞ -categories, prove that the singular chain complex functor is indeed excisive in the abstract sense, and show how the latter leads to classical excision statements in the form of Mayer–Vietoris sequences.
Source: Confluentes Mathematici
DOI: 10.5802/cml.95
Author: Johannes Witzig
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: G5741529951
OpenAlex ID: W4404321807