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Arne Mertens

3 papers here

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • last author2

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.CT3
ORCID 0000-0003-3272-9464

identity via Semantic Scholar / OpenAlex

most citedTemplicial nerve of an A-infinity category

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CT2024★ 1 cited

Templicial nerve of an A-infinity category

Violeta Borges Marques, Arne Mertens

The framework of templicial vector spaces was put forth in arXiv:2302.02484v2 as a suitable generalization of simplicial sets in order to develop a theory of enriched quasi-categor…

math.CT2024

Discrete vertices in simplicial objects internal to a monoidal category

Arne Mertens

We follow the work of Aguiar on internal categories and introduce simplicial objects internal to a monoidal category as certain colax monoidal functors. Then we compare three appro…

math.CT2023

Deformations of quasi-categories in modules

Violeta Borges Marques, Wendy Lowen, Arne Mertens

The framework of templicial objects was put forth in arXiv:2302.02484v1 in order to develop higher categorical concepts in the presence of enrichment. In particular, quasi-categori…

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