Non-reflective categories of some kinds of weakly sober spaces
نویسندگان
چکیده
In [4], Erné relaxed the concept of sobriety in order to extend theory sober spaces and locally hypercompact situations where directed joins were missing, introduced discussed three kinds non-sober spaces: cut spaces, weakly quasisober spaces. [24], other namely DC space, RD space WD investigated. All these six classes are strictly larger than that this paper, it is shown category all not reflective T0 with continuous mappings.
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولBaire Spaces, Sober Spaces
In the article concepts and facts necessary to continue forma-lization of theory of continuous lattices according to [10] are introduced. The notation and terminology used here are introduced in the following papers:
متن کاملOn Some Categories of Sequential Spaces
The sequential spaces dealt with in the paper have arbitrary ordinals as domains of sequences and are subjected, besides the axiom of convergence of constant sequences, to only one other, quite special axiom. Categories of these sequential spaces are studied and the results are then applied to categories of associated closure spaces. It is a usual way to deene a topological structure on a set X...
متن کاملSober Spaces and Continuations
A topological space is sober if it has exactly the points that are dictated by its open sets. We explain the analogy with the way in which computational values are determined by the observations that can be made of them. A new definition of sobriety is formulated in terms of lambda calculus and elementary category theory, with no reference to lattice structure, but, for topological spaces, this...
متن کاملBaire Spaces , Sober Spaces 1 Andrzej
In the article concepts and facts necessary to continue formalization of theory of continuous lattices according to [11] are introduced. and [4] provide the notation and terminology for this paper. 1. PRELIMINARIES The following two propositions are true: (1) For all sets X, A, B such that A ∈ Fin X and B ⊆ A holds B ∈ Fin X. (2) For every set X and for every family F of subsets of X such that ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.108126