Results 31 to 40 of about 2,154,749 (327)
A uniqueness theorem for stable homotopy theory [PDF]
, 1999 In this paper we study the global structure of the stable homotopy theory of spectra. We establish criteria for when the homotopy theory associated to a given stable model category agrees with the classical stable homotopy theory of spectra.
Schwede, Stefan, Shipley, Brooke
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The 2-category theory of quasi-categories
Advances in Mathematics, 2015 84 pages; v4, final journal version, expository improvements suggested by referee and a handful of new lemmas streamlining the presentation in sections 4-6; an appendix, establishing the equivalence between the join and fat join construction, has been cut from v4 but can be found in v3.
Emily Riehl, Dominic Verity
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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
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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Dendroidal sets as models for homotopy operads [PDF]
, 2011 The homotopy theory of infinity-operads is defined by extending Joyal's homotopy theory of infinity-categories to the category of dendroidal sets. We prove that the category of dendroidal sets is endowed with a model category structure whose fibrant ...
Cisinski, Denis-Charles, Moerdijk, Ieke
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Zagadnienia Filozoficzne w Nauce, 2022 The unusual applicability of mathematics to the description of the physical reality still remains a major investigative task for philosophers, physicists, mathematicians and cognitive scientists.
Wojciech Grygiel
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Solving Tree Problems with Category Theory
, 2018 Artificial Intelligence (AI) has long pursued models, theories, and techniques to imbue machines with human-like general intelligence. Yet even the currently predominant data-driven approaches in AI seem to be lacking humans' unique ability to solve wide
BC Pierce +14 more
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A Convenient Category of Domains [PDF]
, 2007 We motivate and define a category of "topological domains", whose objects are certain topological spaces, generalising the usual $omega$-continuous dcppos of domain theory.
Abramsky +39 more
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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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Mathematical Modelling by Help of Category Theory: Models and Relations between Them
Mathematics, 2021 The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role of model comparison and model choice is becoming particularly important.
Dmitrii Legatiuk
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