Results 41 to 50 of about 8,086,442 (367)
Pro-categories in homotopy theory [PDF]
Algebraic & Geometric Topology, 2017 The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the $\infty$-categorical approach, as developed by Lurie. Three applications of our main result are described.
Barnea, Ilan +2 more
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The Brauer category and invariant theory [PDF]
Journal of the European Mathematical Society, 2015 A category of Brauer diagrams, analogous to Turaev's tangle category, is introduced, a presentation of the category is given, and full tensor functors are constructed from this category to the category of tensor representations of the orthogonal group O (V) or the symplectic group Sp
Gustav I. Lehrer, Ruibin Zhang
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Category Free Category Theory and Its Philosophical Implications [PDF]
, 2016 There exists a dispute in philosophy, going back at least to Leibniz, whether is it possible to view the world as a network of relations and relations between relations with the role of objects, between which these relations hold, entirely eliminated ...
M. Heller
semanticscholar +1 more source
Self-move and Other-move: Quantum Categorical Foundations of Japanese [PDF]
Journal of Interdisciplinary Sciences, 2023 This work contributes toward the larger goal of creating a Quantum Natural Language Processing (QNLP) translation program. It contributes original diagrammatic representations of the Japanese language based on previous work on the English language ...
Ryder Dale Walton
doaj
An Invitation to Applied Category Theory
, 2019 Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science ...
Brendan Fong, David I. Spivak
semanticscholar +1 more source
Topological Superconductors and Category Theory [PDF]
, 2015 We give a pedagogical introduction to topologically ordered states of matter, with the aim of familiarizing the reader with their axiomatic topological quantum field theory description.
A. Bernevig, T. Neupert
semanticscholar +1 more source
A convenient category for higher-order probability theory [PDF]
Logic in Computer Science, 2017 Higher-order probabilistic programming languages allow programmers to write sophisticated models in machine learning and statistics in a succinct and structured way, but step outside the standard measure-theoretic formalization of probability theory ...
C. Heunen +3 more
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One-sided n-suspended categories [PDF]
arXiv, 2021 Let $n$ be an integer greater or equal than $3$. We give a simultaneous generalization of $(n-2)$-exact categories and $n$-angulated categories, and we call it one-sided $n$-suspended categories. One-sided $n$-angulated categories are also examples of one-sided $n$-suspended categories.
arxiv
Frontiers in Psychology, 2023 Human consciousness is characterized by constant transitions in time. On the other hand, what is consciously experienced always possesses the temporal feature of “now.” In consciousness, “now” constantly holds different contents, yet it remains “now” no ...
Shigeru Taguchi +2 more
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Reedy categories which encode the notion of category actions [PDF]
Fund. Math. 228 (2015), 193-222, 2012 We study a certain type of action of categories on categories and on operads. Using the structure of the categories {\Delta} and {\Omega} governing category and operad structures, respectively, we define categories which instead encode the structure of a category acting on a category, or a category acting on an operad.
arxiv +1 more source