Results 1 to 10 of about 1,178,337 (307)
, 2022 AbstractIn [123] Quillen proposed an axiomatic framework for homotopy theory through the notion of a model structure on a category. Such a structure consists of three distinguished classes of morphisms, calledweak equivalences, fibrations, and cofibrations, required to satisfy several axioms reminiscent of the properties of the corresponding notions in
Gijs Heuts, Ieke Moerdijk
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Homotopical categories: from model categories to $(\infty,1)$-categories [PDF]
, 2019 This chapter, written for "Stable categories and structured ring spectra," edited by Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill, surveys the history of homotopical categories, from Gabriel and Zisman's categories of fractions to Quillen's model categories, through Dwyer and Kan's simplicial localizations and culminating in $(\infty,1 ...
Emily Riehl
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Category of Situationality in Narrative Model of Artistic and Legal Discourse
Научный диалог, 2022 The subject of research in this article is the specificity of the category of discursive situationality, which determined the problematics of the novel “Bleak House” by Ch. Dickens (1853).
E. V. Dziuba, I. Yu. Ryabova
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LEGAL MODEL OF STATE COERCION AS TO A SPECIAL CATEGORY OF PERSONS [PDF]
Russian Journal of Economics and Law, 2016 Objective: to develop a legal model of state coercion against individuals with mental disorders.Methods: dialectical method, analysis, synthesis, description, explanation.Results: identifying features of the semantic and meaningful understanding of state
T. M. Sekretareva
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Слобожанський науково-спортивний вісник, 2018 Purpose: develop model characteristics of special physical readiness of Juvenile category athletes in acrobatic rock'n'roll. Material & Methods: theoretical analysis and synthesis of data of special scientific and methodical literature, pedagogical ...
Serhii Humeniuk
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Six model categories for directed homotopy [PDF]
Categories and General Algebraic Structures with Applications, 2021 We construct a q-model structure, an h-model structure and an m-model structure on multipointed $d$-spaces and on flows. The two q-model structures are combinatorial and left determined and they coincide with the combinatorial model structures already ...
Philippe Gaucher
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Arrow categories of monoidal model categories [PDF]
MATHEMATICA SCANDINAVICA, 2019 We prove that the arrow category of a monoidal model category, equipped with the pushout product monoidal structure and the projective model structure, is a monoidal model category. This answers a question posed by Mark Hovey, in the course of his work on Smith ideals.
White, David, Yau, Donald
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Comparison theorems for Kan, faintly universal and strongly universal derived functors [PDF]
Surveys in Mathematics and its Applications, 2022 We distinguish between faint, weak, strong and strict localizations of categories at morphism families and show that this framework captures the different types of derived functors that are considered in the literature.
Alisa Govzmann +2 more
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A unified representation and transformation of multi-model data using category theory
Journal of Big Data, 2022 The support for multi-model data has become a standard for most of the existing DBMSs. However, the step from a conceptual (e.g., ER or UML) schema to a logical multi-model schema of a particular DBMS is not straightforward.
Pavel Koupil, Irena Holubová
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