Lattices of uniformly continuous functions determine their sublattices of bounded functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10321789" target="_blank" >RIV/00216208:11320/15:10321789 - isvavai.cz</a>
Alternative codes found
RIV/44555601:13440/15:43886464
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2014.12.019" target="_blank" >http://dx.doi.org/10.1016/j.topol.2014.12.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2014.12.019" target="_blank" >10.1016/j.topol.2014.12.019</a>

Result language
angličtina
Original language name
Lattices of uniformly continuous functions determine their sublattices of bounded functions
Original language description
If two uniform spaces have isomorphic lattices of their uniformly continuous real-valued functions then also their sublattices of bounded functions are isomorphic. That result is used to give a different correct proof of Shirota theorem (complete metricspaces are determined by their uniformly continuous real-valued functions) than that in [1].
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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