Pure Math · Mathematics & Statistics
Category Theory
The newest papers in Category Theory that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
5 papers, from 8 September 2026 to 29 October 2026: 5 arXiv preprints.
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Newest papers
Process matrices on generalised theories
We extend the process-matrix framework for defining indefinite causal orders to a broad class of generalised physical theories.DisCo Algebra: Why Disintegration and Combination Are Not Inverses
We present DisCo algebra---a compositional framework for joint probability built from a symmetric cooperad (disintegration) and a symmetric operad (combination) on the bare family…Categorifying Quantum Spin Systems
We develop a homotopical framework for understanding the space of quantum spin systems based on topological $n$-nets, which assign associative unital algebras to local regions in an $n$-dimensional…Nakayama's reduction of quantum topos and Bayesian quantum computing
Nakayama found the way to limit the contexts in the Döring-Isham topos quantum theory and unified such limitation and the definition of probability as a single choice of topology.Time-Varying Data as Sheaves: an Invitation to Narratives
Modern science and engineering increasingly rely on time-varying data, yet the mathematical tools used to model temporal phenomena are often developed within separate disciplines, obscuring common…