Results 31 to 40 of about 2,154,749 (327)
A uniqueness theorem for stable homotopy theory [PDF]
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
core +3 more sources
The 2-category theory of quasi-categories
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
openaire +3 more sources
Self-move and Other-move: Quantum Categorical Foundations of Japanese [PDF]
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]
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]
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
core +6 more sources
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
doaj
Solving Tree Problems with Category Theory
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
core +1 more source
A Convenient Category of Domains [PDF]
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
core +2 more sources
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
doaj +1 more source
Mathematical Modelling by Help of Category Theory: Models and Relations between Them
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
doaj +1 more source