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Showing 2024 · math.CTShow all
3 papers · 2 filters
math.CT2024★ 1 cited
A characterisation for the category of Hilbert spaces
Stephen Lack, Shay Tobin
The categories of real and of complex Hilbert spaces with bounded linear maps have received purely categorical characterisations by Chris Heunen and Andre Kornell. These characteri…
math.CT2024★ 1 cited
-weak equivalences between weak -categories
Soichiro Fujii, Keisuke Hoshino, Yuki Maehara
We study -weak equivalences between weak -categories in the sense of Batanin-Leinster. Our -weak equivalences are strict -functors satisfying essential surjectivity in…
math.CT2024★ 1 cited
An Ultrametric for Cartesian Differential Categories for Taylor Series Convergence
Jean-Simon Pacaud Lemay
Cartesian differential categories provide a categorical framework for multivariable differential calculus and also the categorical semantics of the differential -calculus. Taylo…