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citeseer: CiteSeer citations (2014)
Citations among papers indexed by the CiteSeer digital library. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present.
This network has 384413 nodes and 1751463 edges.
Tags: Informational, Citation, Unweighted

Bi-dendrograms for clustering the categories of a multivariate categorical data set
Michael Greenacre, Maurizio Vichi
https://arxiv.org/abs/2509.15939 https://

Bi-dendrograms for clustering the categories of a multivariate categorical data set
The clustering of categories in a multivariate categorical data set is investigated, where the problem separates into that of merging categories of the same variables (i.e., within-variable categories), and combining categories of different variables (i.e., between-variable categories). For the within-variable problem, the objective is to arrive at fewer categories (and, consequently, lower data dimensionality) without affecting the essential features of the data set, thereby simplifying the in…

Construction of $d$-abelian categories via derived categories
Peter Jorgensen, Emre Sen
https://arxiv.org/abs/2509.17922 https://arxiv.org/pdf/2509.17922…

Construction of $d$-abelian categories via derived categories
In this work, we provide a simple way to construct $d$-abelian categories via bounded derived categories for certain values of $d$. Namely, let ${\mathcal C}$ be an abelian category, and let ${\mathcal C}[0,m]$ denote the full subcategory of the bounded derived category of ${\mathcal C}$ whose objects $X$ satisfy that $H_*(X)$ is concentrated in degrees $j$ where $0 \leq j \leq m$. We prove that if ${\mathcal C}$ is hereditary, then ${\mathcal C}[0,m]$ is a $d$-abelian category where $d = 3m + …

The nine model category structures on the category of sets
Omar Antol\'in-Camarena, Tobias Barthel
https://arxiv.org/abs/2508.15731 https://arxiv.org/p…

The nine model category structures on the category of sets
We give a proof of the folklore theorem, attributed to Goodwillie, that there are precisely nine model structures on the category $\mathsf{Set}$ of sets. This result is deduced from a complete study of lifting problems and the ensuing classification of all weak factorization systems on $\mathsf{Set}$. Moreover, we determine the Quillen equivalences between these model structures and exhibit an explicit example of equivalent model structures that cannot be realized by a single Quillen adjunction.

:neodog_base_with_nose:

On the IKEA SMAKLIG Built-in Induction Hob: Review - Is an induction hob better than cooking with gas? How about health and carbon? #induction #cutCarbon #airQuality -

On the IKEA SMAKLIG Built-in Induction Hob: Review
Is an induction hob better than cooking with gas? How about health and carbon? #induction #cutCarbon #airQuality

citeseer: CiteSeer citations (2014)
Citations among papers indexed by the CiteSeer digital library. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present.
This network has 384413 nodes and 1751463 edges.
Tags: Informational, Citation, Unweighted

The formal theory of tangentads
Marcello Lanfranchi
https://arxiv.org/abs/2509.15524 https://arxiv.org/pdf/2509.15524…

The formal theory of tangentads
Tangent categories offer a categorical context for differential geometry, by categorifying geometric notions like the tangent bundle functor, vector fields, Euclidean spaces, vector bundles, connections, etc. In the last decade, the theory has been extended in new directions, providing concepts such as tangent monads, tangent fibrations, tangent restriction categories, reverse tangent categories and many more. It is natural to wonder how these new flavours interact with the geometric construc…

Modules over the category of Jacobi diagrams in handlebodies
Mai Katada
https://arxiv.org/abs/2509.16230 https://arxiv.org/pdf/2509.16230

Modules over the category of Jacobi diagrams in handlebodies
The linear category $\mathbf{A}$ of Jacobi diagrams in handlebodies was introduced by Habiro and Massuyeau. We study the category of modules over the category $\mathbf{A}$. We generalize the adjunction given by Powell to an adjunction between the category of $\mathbf{A}$-modules and the category of modules over the linear PROP for Casimir Lie algebras by using the category $\mathbf{A}^{L}$ of extended Jacobi diagrams in handlebodies. Then we study subquotient $\mathbf{A}$-modules of $\mathbf{A}…

citeseer: CiteSeer citations (2014)
Citations among papers indexed by the CiteSeer digital library. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present.
This network has 384413 nodes and 1751463 edges.
Tags: Informational, Citation, Unweighted