Zobrazeno 1 - 10
of 228
pro vyhledávání: '"18B30"'
For a morphism f in a category C with sufficiently many finite limits and colimits, we discuss an elementary construction of a decomposition of f through objects P and N which, if C happens to have a zero object, amounts to the standard decomposition
Externí odkaz:
http://arxiv.org/abs/2411.03266
Autor:
Ayala, David, Francis, John
We introduce an $(\infty,1)$-category ${\sf Bord}_1^{\sf fr}(\mathbb{R}^n)$, the morphisms in which are framed tangles in $\mathbb{R}^n\times \mathbb{D}^1$. We prove that ${\sf Bord}_1^{\sf fr}(\mathbb{R}^n)$ has the universal mapping out property of
Externí odkaz:
http://arxiv.org/abs/2410.23965
Quillen's notion of small object and the Gabriel-Ulmer notion of finitely presentable or generated object are fundamental in homotopy theory and categorical algebra. Do these notions always lead to rather uninteresting classes of objects in categorie
Externí odkaz:
http://arxiv.org/abs/2302.00050
Autor:
Xu, Xiaoquan
In this paper, for a full subcategory $\mathbf{K}$ of the category of all $T_0$ spaces with continuous mappings, we investigate the questions under what conditions the $\mathbf{K}$-reflection of a Scott space is still a Scott space and under what con
Externí odkaz:
http://arxiv.org/abs/2204.09512
Autor:
Wen, Xinpeng, Xu, Xiaoquan
Ern\'e weakened the concept of sobriety in order to extend the theory of sober spaces and locally hypercompact spaces to situations where directed joins were missing, and introduced and discussed three kinds of non-sober spaces: cut spaces, weakly so
Externí odkaz:
http://arxiv.org/abs/2204.10187
Autor:
Radul, Taras
Riesz Theorem establishes a correspondence between the set of $\sigma$-additive regular Borel measures and the set of linear positively defined functionals. We consider an idempotent analogue of this correspondence between possibility capacities and
Externí odkaz:
http://arxiv.org/abs/2111.06612
Under a general categorical procedure for the extension of dual equivalences as presented in this paper's predecessor, a new algebraically defined category is established that is dually equivalent to the category $\bf LKHaus$ of locally compact Hausd
Externí odkaz:
http://arxiv.org/abs/2109.07172
Autor:
Zhang, Dexue, Zhang, Gao
The notion of sobriety is extended to the realm of topological spaces valued in a commutative and unital quantale, via an adjunction between a category of quantale modules and the category of quantale-valued topological spaces. Relations between such
Externí odkaz:
http://arxiv.org/abs/2103.02801
Autor:
Dimov, Georgi, Ivanova-Dimova, Elza
In [G. Dimov and E. Ivanova-Dimova, Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces, arXiv:1901.04537v4, 1--33], extending the Stone Duality Theorem, we proved two duality theorems for the category ZDHaus of z
Externí odkaz:
http://arxiv.org/abs/2010.00097
Publikováno v:
Rendiconti del Seminario Matematico dell'Universit\`a di Padova, Vol.144, 2020, 13-25
The paper is devoted to a kind of `very non-abelian' spectral categories. Under strong conditions on a category $\mathcal{X}$, we prove, among other things, that, for a given faithful localization $\mathcal{C}\to\mathcal{X}$, we have canonical equiva
Externí odkaz:
http://arxiv.org/abs/2002.08234