Zobrazeno 1 - 10
of 1 449
pro vyhledávání: '"Li, Qingguo"'
We prove that a $T_0$ topological space is $\omega$-well-filtered if and only if it does not admit either the natural numbers with the cofinite topology or with the Scott topology as its closed subsets in the strong topology. Based on this, we offer
Externí odkaz:
http://arxiv.org/abs/2409.01551
The Ho-Zhao problem asks whether any two dcpo's with isomorphic Scott closed set lattices are themselves isomorphic, that is, whether the category $\mathbf{DCPO}$ of dcpo's and Scott-continuous maps is $\Gamma$-faithful. In 2018, Ho, Goubault-Larrecq
Externí odkaz:
http://arxiv.org/abs/2409.01546
We construct two dcpo's whose Scott spaces are sober, but the Scott space of their order product is not sober. This answers an open problem on the sobriety of Scott spaces. Meantime, we show that if $M$ and $N$ are special type of sober complete latt
Externí odkaz:
http://arxiv.org/abs/2408.08587
With a commutative unital quantale $L$ as the truth value table, this study focuses on the representations of $L$-domains by means of $L$-closure spaces. First, the notions of interpolative generalized $L$-closure spaces and directed closed sets are
Externí odkaz:
http://arxiv.org/abs/2406.17712
With a frame $L$ as the truth value table, we study the topological representations for frame-valued domains. We introduce the notions of locally super-compact $L$-topological space and strong locally super-compact $L$-topological space. Using these
Externí odkaz:
http://arxiv.org/abs/2406.13595
Autor:
Hou, Huijun, Li, Qingguo
A commutativity result for the Hoare power construction and a modified version of the Smyth power construction on all US-admitting dcpos has been confirmed in [11], where the property of being US-admitting determined by the strongly compact subsets i
Externí odkaz:
http://arxiv.org/abs/2311.14261
Autor:
Chen, Siheng, Li, Qingguo
For a $T_1$ space $X$, Zhao and Xi constructed a dcpo model $\hat{P}$, where $P$ is a bounded complete algebraic poset model of $X$. In this paper, we formulate the closed WD subsets of the maximal point space $\mathrm{Max}(\hat{P})$ and the Scott sp
Externí odkaz:
http://arxiv.org/abs/2311.07949
Currently, density-based clustering algorithms are widely applied because they can detect clusters with arbitrary shapes. However, they perform poorly in measuring global density, determining reasonable cluster centers or structures, assigning sample
Externí odkaz:
http://arxiv.org/abs/2305.12114
Three-way decision (3WD) is a powerful tool for granular computing to deal with uncertain data, commonly used in information systems, decision-making, and medical care. Three-way decision gets much research in traditional rough set models. However, t
Externí odkaz:
http://arxiv.org/abs/2306.03885
Autor:
Li, Qingguo, Miao, Hualin
M. Escard\'o et al. asked whether the core compactly generated topology of a sober space is again sober and the sobrification of a core compactly generated space again core compactly generated. In this note, we answer the problem by displaying a coun
Externí odkaz:
http://arxiv.org/abs/2305.00372