Batanin M., White D., Journal of Pure and Applied Algebra 2024 Vol. 228 No. 6 Article 107570
Given a combinatorial (semi-)model category M and a set of morphisms C, we establish the existence of a semi-model category LCM satisfying the universal property of the left Bousfield localization in the category of semi-model categories. Our main tool is a semi-model categorical version of a result of Jeff Smith, that appears to be of ...
Added: December 26, 2025
Polotovskiy G., Синкевич Г. И., ИД "Петрополис", 2025.
The biographical reference book «Domestic Historians of Mathematics» contains information about the life and works of domestic historians of mathematics, as well as about the first translators and publishers of mathematical and historical‑mathematical texts activities, about bibliographers and authors who wrote on the history of mathematics in the Russian language from the 18th century to ...
Added: May 31, 2025
Farjoun E. D., Ivanov S. O., Krasilnikov A. et al., Journal of Algebra 2025 Vol. 675 P. 273–288
We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vector spaces) to any small category. In addition, we consider questions about nonexistence of subfunctors and quotients of the identity functor on the category of groups (or ...
Added: May 5, 2025
Polotovskiy G., В кн.: IV Конференция математических центров России. Сборник тезисов.: [б.и.], 2024. С. 120–120.
Речь пойдёт о многократно повторяемых мифах при устном или письменном изложении историко-математических сведений, а также о некорректном изложении фактов, порождающем новые мифы. В качестве конкретных примеров будут рассмотрены мифы, относящиеся к истории античной математики, математики XIX века и современной математики. ...
Added: August 13, 2024
Polotovskiy G., В кн.: Математика и проблемы образования:Материалы 41-го Международного научного семинара преподавателей математики и информатики университетов и педагогических вузов.: Изд-во ВятГУ, 2022. С. 141–143.
The question on including data on the history of mathematics in the teaching
of specific mathematical disciplines at school and at the university is discussed. ...
Added: September 28, 2022
Raikov A., Pirani M., IEEE Access 2022 Vol. 10 P. 56296–56315
The goal of the paper is to find means for the unification of human-machine duality in collective behavior of people and machines, by conciliating approaches that proceed in opposite directions. The first approach proceeds top-down from non-formalizable, cognitive, uncaused, and chaotic human consciousness towards purposeful and sustainable human-machine interaction. The second approach proceeds bottom-up from ...
Added: July 19, 2022
Dmitri Panchenko, Hyperboreus 2017 Vol. 23 No. 2 P. 208–223
The way of argumentation employed by the Eleatic philosophers was repeatedly compared with methods of demonstration characteristic for Greek mathematics. The paper addresses a particular type of argument, argumentum ad impossibile, found in both Zeno’s antinomies and an ancient demonstration of the incommensurability of the side and diagonal of a square. It is argued that ...
Added: October 30, 2018
Lečić N. D., В кн.: Аристотелевское наследие как конституирующий элемент европейской рациональности.: М.: Аквилон, 2017. С. 31–42.
In his reasoning concerning the relationship between surface or visible superficies (understood as the boundary or the limit of a body) and color (De sensu 439a19–b17), Aristotle asserts that the Pythagoreans called the surface (ἐπιφάνεια) color (χροιά), i.e. that they made no terminological difference between the former and the latter. In the scholarship on early ...
Added: November 16, 2017
M.: RUDN, 2017.
Materials for the International Conference Analytical and Computational Methods in Probability
Theory and its Applications (ACMPT-2017)
The scientific publication presents the materials of the International Scientific Conference "Analytical and Computational Methods in Probability Theory and Its Applications" in the following main areas:
- Analytical methods in probability theory and its applications;
- Computational methods in probability theory and its ...
Added: October 18, 2017
Gavrilovich M., / Series arxiv "math.CT". 2017.
We illustrate the generative power of the lifting property (orthogonality of morphisms in a category) as means of defining natural elementary mathematical concepts by giving a number of examples in various categories, in particular showing that many standard elementary notions of abstract topology can be defined by applying the lifting property to simple morphisms of ...
Added: July 21, 2017
Expressing the statement of the Feit-Thompson theorem with diagrams in the category of finite groups
Gavrilovich M., / Series math.GR "arxiv". 2017.
We reformulate the statement of the Feit-Thompson theorem in terms of diagrams in the category of finite groups, namely iterations of the Quillen lifting property with respect to particular morphisms. ...
Added: July 20, 2017
Lečić N. D., Платоновские исследования 2016 № 2 С. 258–278
In Theaetetus (145a–148a), Plato brings up Theaetetus’ retelling of a lesson by Theodorus of Cyrene, in which the latter demonstrated the incommensurability of the sides of squares containing three, five, and up to seventeen square feet with the side of one square foot. In this paper, we analyse modern scholarly attempts to reconstruct the exact ...
Added: November 26, 2016
Polotovskiy G., Семь искусств 2016 № 3(72)
Short sketch of history of development of mathematics in Nizhni Novgorod ...
Added: April 1, 2016
Полотовский Г.М., В кн.: Актуальные проблемы истории естественно-математических и технических наук и образования. Материалы всероссийской научно-практической конференции.: Елабуга: Издательство Елабужского института Казанского университета, 2014. С. 107–118.
Sketch of history of mathematics in Nizhny Novgorod ...
Added: March 16, 2016
Polotovskiy G., Семь искусств 2014 № 5(52)
Аbout approaches to the definition of a subject of mathematics and about a periodization of its history ...
Added: March 16, 2016
Жмудь Л. Я., Kouprianov A. V., Социология науки и технологий 2016 Т. 7 № 1 С. 23–45
The study is based on a dataset formed on the basis of the Encyclopaedia of Ancient Natural Scientists (London, 2008) with significant revisions and modifications. The selection criteria, problems of demarkation of sciences (mathemata) from natural philosophy (physike) and practical arts (technai) are discussed. The dataset includes entries on 415 persons, pseudonyms and anonymous treatises ...
Added: December 1, 2015
Gavrilovich M., The De Morgan Gazette 2014 Vol. 5 No. 4 P. 23–32
We observe that some natural mathematical definitions are lifting properties relative to simplest counterexamples, namely the definitions of surjectivity and injectivity of maps, as well as of being connected, separation axioms T0 and T1 in topology, having dense image, induced (pullback) topology, and every real-valued function being bounded (on a connected domain). We also offer ...
Added: October 20, 2015
Balzin E., Успехи математических наук 2014 Т. 69 № 5(419) С. 159–160
В статье дан обзор части результатов диссертационной работы автора. Речь идет о применении идеи категорного разрешения сингулярностей, которая была активно опробована алгебраическими геометрами для триангулированных категорий, в гомотопической алгебре. В связи с тем, что возникающие тут категории не имеют никакой аддитивной структуры, возникает необходимость в разработке новых методов. В рамках формализма Сигала, который позволяет описывать ...
Added: December 24, 2014
Balzin Edouard, / Series math "arxiv.org". 2014.
In the world of triangulated categories, categorical resolutions (as defined by Kuznetsov and Luntz) have been useful. One would like to have a similar notion of categorical resolution in homotopical algebra, where one works with categories which are not additive, such as the categories of E_n-algebras. Describing algebraic structures using the approach inspired by Segal, ...
Added: December 23, 2014