Some properties of conjunctivity (subfitness) in generalized settings
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Some properties of conjunctivity (subfitness) in generalized settings
Original language description
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'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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Quaestiones Mathematicae
ISSN
1607-3606
e-ISSN
1727-933X
Volume of the periodical
46
Issue of the periodical within the volume
Supplement 1
Country of publishing house
ZA - SOUTH AFRICA
Number of pages
14
Pages from-to
239-252
UT code for WoS article
001098712000008
EID of the result in the Scopus database
2-s2.0-85175552404