Some properties of conjunctivity (subfitness) in generalized settings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475896" target="_blank" >RIV/00216208:11320/23:10475896 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=21t6Vi4.HQ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=21t6Vi4.HQ</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2989/16073606.2023.2247793" target="_blank" >10.2989/16073606.2023.2247793</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Some properties of conjunctivity (subfitness) in generalized settings

Popis výsledku v původním jazyce

The property of subfitness used in point-free topology (roughly speaking) to replace the slightly stronger T-1-separation, appeared (as disjunctivity) already in the pioneering Wallman&apos;s [16], then practically disappeared to reappear again (conjunctivity, subfitness), until it was in the recent decades recognized as an utmost important condition playing a very special role. Recently, it was also observed that this property (or its dual) appeared independently in general poset setting (e.g. as separativity in connection with forcing). In a recent paper [2], Delzell, Ighedo and Madden discussed it in the context of semilattices. In this article we discuss it on the background of the systems of meet-sets (subsets closed under existing infima) in posets of various generality (semilattices, lattices, distributive lattices, complete lattices) and present parallels of some localic (frame) facts, including a generalized variant of fitness.

Název v anglickém jazyce

Some properties of conjunctivity (subfitness) in generalized settings

Popis výsledku anglicky

The property of subfitness used in point-free topology (roughly speaking) to replace the slightly stronger T-1-separation, appeared (as disjunctivity) already in the pioneering Wallman&apos;s [16], then practically disappeared to reappear again (conjunctivity, subfitness), until it was in the recent decades recognized as an utmost important condition playing a very special role. Recently, it was also observed that this property (or its dual) appeared independently in general poset setting (e.g. as separativity in connection with forcing). In a recent paper [2], Delzell, Ighedo and Madden discussed it in the context of semilattices. In this article we discuss it on the background of the systems of meet-sets (subsets closed under existing infima) in posets of various generality (semilattices, lattices, distributive lattices, complete lattices) and present parallels of some localic (frame) facts, including a generalized variant of fitness.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Quaestiones Mathematicae

ISSN

1607-3606

e-ISSN

1727-933X

Svazek periodika

46

Číslo periodika v rámci svazku

Supplement 1

Stát vydavatele periodika

ZA - Jihoafrická republika

Počet stran výsledku

14

Strana od-do

239-252

Kód UT WoS článku

001098712000008

EID výsledku v databázi Scopus

2-s2.0-85175552404