Hewitt's irresolvability and induced Sublocales in spatial frames

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420348" target="_blank" >RIV/00216208:11320/20:10420348 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=PQXHE9OK.~" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=PQXHE9OK.~</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2989/16073606.2019.1646832" target="_blank" >10.2989/16073606.2019.1646832</a>

Result language
angličtina
Original language name
Hewitt's irresolvability and induced Sublocales in spatial frames
Original language description
Sublocales of frames, even those representing subspaces (induced sublo-cales), are typically not complemented in the lattice of all sublocales. We present a necessary and sucient condition for an induced sublocale to be so, and prove that all induced sublocales are complemented iff the space in question is hereditarily irresolvable, a property slightly weaker than - and in a broad class of spaces equivalent with - scatteredness (under which condition, by Simmons' result all sublocales are complemented).
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)