nLab Mathieu Anel

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Mathieu Anel is one of the two editors of the two volume work: New Spaces for Mathematics and Physics.

1. Selected writings

Proving the Blakers-Massey theorem in any $(\infty,1)$-topos and with the (n-connected, n-truncated) factorization system allowed to be replaced by more general modalities:

• Mathieu Anel, Georg Biedermann, Eric Finster, André Joyal, A generalized Blakers-Massey theorem, Journal of Topology 13 4 (2020) 1521-1553 $[$arXiv:1703.09050, doi:10.1112/topo.12163$]$

On homotopy type with finite homotopy groups

• Mathieu Anel, The elementary infinity-topos of truncated coherent spaces (arXiv:2107.02082)

On $(\infty,1)$-toposes understood as logoi:

• Mathieu Anel, André Joyal, Topo-logie, in New Spaces for Mathematics and Physics, Cambridge University Press (2021) 155-257 [doi:10.1017/9781108854429.007, pdf]

Duality of dg-algebras vs. dg-coalgebras is studied in

• Mathieu Anel, André Joyal, Sweedler Theory for (co)algebras and the bar-cobar constructions, 260 pp. arxiv/1309.6952; cf. also Boston 2012 slides

On choice axioms and Postnikov completeness:

• Mathieu Anel, Reid Barton, Choice axioms and Postnikov completeness (arXiv:2403.19772)

category: people