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pro vyhledávání: '"Kevin, Abela"'
Autor:
Kevin, Abela, Emmanuel, Chetcuti
In this article we study unbounded order convergence (uO-convergence) on infinitely distributive lattices. For a sublattice Y of an infinitely distributive lattice L, we show that the order closure and unbounded order closure is also a sublattices. W
Externí odkaz:
http://arxiv.org/abs/2405.07366
A net $(x_\gamma)_{\gamma\in\Gamma}$ in a locally solid Riesz space $(X,\tau)$ is said to be unbounded $\tau$-convergent to $x$ if $|x_\gamma-x|\wedge u\mathop{\overset{\tau}{\longrightarrow}} 0$ for all $u\in X_+$. We recall that there is a locally
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4002a079e3c5556595cf05af4e4a812
Different notions for order convergence have been considered by various authors. Associated to every notion of order convergence corresponds a topology, defined by taking as the closed sets those subsets of the poset satisfying that no net in them or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e0a5cc9463d690a3192b188f8e4bb16
http://arxiv.org/abs/2012.13752
http://arxiv.org/abs/2012.13752