Results 31 to 40 of about 2,154,749 (327)

A uniqueness theorem for stable homotopy theory [PDF]

open access: yes, 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
core   +3 more sources

The 2-category theory of quasi-categories

open access: yesAdvances 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
openaire   +3 more sources

Self-move and Other-move: Quantum Categorical Foundations of Japanese [PDF]

open access: yesJournal 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]

open access: yesJournal 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
openaire   +3 more sources

Dendroidal sets as models for homotopy operads [PDF]

open access: yes, 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
core   +6 more sources

A critical analysis of the philosophical motivations and development of the concept of the field of rationality as a representation of the fundamental ontology of the physical reality

open access: yesZagadnienia 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
doaj  

Solving Tree Problems with Category Theory

open access: yes, 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
core   +1 more source

A Convenient Category of Domains [PDF]

open access: yes, 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
core   +2 more sources

The monoid-now: a category theoretic approach to the structure of phenomenological time-consciousness

open access: yesFrontiers 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
doaj   +1 more source

Mathematical Modelling by Help of Category Theory: Models and Relations between Them

open access: yesMathematics, 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
doaj   +1 more source

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