When lattices of uniformly continuous functions on X determine X

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10321791" target="_blank" >RIV/00216208:11320/15:10321791 - isvavai.cz</a>
Alternative codes found
RIV/44555601:13440/15:43887475
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2015.08.015" target="_blank" >http://dx.doi.org/10.1016/j.topol.2015.08.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2015.08.015" target="_blank" >10.1016/j.topol.2015.08.015</a>

Result language
angličtina
Original language name
When lattices of uniformly continuous functions on X determine X
Original language description
Several Banach-Stone-like generalizations of Shirota's result for metrizable uniform spaces are proved. Namely, if complete uniform spaces X, Y have isomorphic lattices U(X), U(Y) of their real-valued uniformly continuous functions, and both X, Y are either some products of spaces having monotone bases (metrizable or uniformly zero-dimensional), or are locally fine and of non-measurable cardinality, then X and Y are uniformly homeomorphic. .
Czech name
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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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