Add to ORKGsummary:The general theory of J'onsson-classes is generalized to strongly smooth quasiconstructs in such a way that it also allows the construction of universal categories. One example of the theory is the existence of a concrete universal category over every base category. Properties are given which are (under certain conditions) equivalent to the existence of homogeneous universal objects. Thereby, we disprove the existence of a homogeneous {\it C\/}-universal category. The notion of homogeneity is strengthened to extremal homogeneity. Extremally homogeneous universal objects, for which additionally every morphism between smaller subobjects is extendable to an endomorphism, are constructed in so called extremally smooth quasiconstructs
Instead of the half-century old foundational feud between set theory and category theory, this paper...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
summary:The general theory of J'onsson-classes is generalized to strongly smooth quasiconstructs in ...
summary:The general theory of J'onsson-classes is generalized to strongly smooth quasiconstructs in ...
Philosophiae Doctor - PhDIn a category C with a proper (E; M)-factorization system for morphisms, we...
AbstractMaking use of the presentation of quasi-uniform spaces as generalised enriched categories, a...
Please read abstract in the article.H2020 Marie Skłodowska-Curie Actions; DST-NRF Centre of Exc...
In this article, using mostly Pervin [9], Kunzi [6], [8], [7], Williams [11] and Bourbaki [3] works,...
AbstractWe present a description of the quasitopos hull of the category of uniform spaces. This corr...
AbstractLet T:QU0→Top0 denote the usual forgetful functor from the category of quasi-uniform T0-spac...
We show that both the $\infty$-category of $(\infty, \infty)$-categories with inductively defined eq...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
AbstractA vital ingredient in the first author's definition of weak ω-category is his description, i...
AbstractA quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman ...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
summary:The general theory of J'onsson-classes is generalized to strongly smooth quasiconstructs in ...
summary:The general theory of J'onsson-classes is generalized to strongly smooth quasiconstructs in ...
Philosophiae Doctor - PhDIn a category C with a proper (E; M)-factorization system for morphisms, we...
AbstractMaking use of the presentation of quasi-uniform spaces as generalised enriched categories, a...
Please read abstract in the article.H2020 Marie Skłodowska-Curie Actions; DST-NRF Centre of Exc...
In this article, using mostly Pervin [9], Kunzi [6], [8], [7], Williams [11] and Bourbaki [3] works,...
AbstractWe present a description of the quasitopos hull of the category of uniform spaces. This corr...
AbstractLet T:QU0→Top0 denote the usual forgetful functor from the category of quasi-uniform T0-spac...
We show that both the $\infty$-category of $(\infty, \infty)$-categories with inductively defined eq...
AbstractWe propose a variant to the Etingof–Kazhdan construction of quantization functors. We constr...
AbstractA vital ingredient in the first author's definition of weak ω-category is his description, i...
AbstractA quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman ...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
Instead of the half-century old foundational feud between set theory and category theory, this paper...
Instead of the half-century old foundational feud between set theory and category theory, this paper...