Spaces C(X) with ordered bases

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459515" target="_blank" >RIV/67985840:_____/16:00459515 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2016.05.006" target="_blank" >http://dx.doi.org/10.1016/j.topol.2016.05.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2016.05.006" target="_blank" >10.1016/j.topol.2016.05.006</a>

Result language
angličtina
Original language name
Spaces C(X) with ordered bases
Original language description
The concept of ...-base of neighborhoods of the identity of a topological group G is introduced. If the index set ... is unbounded and directed (and if additionally each subset of ... which is bounded in ... has a bound at ...) a base ... of neighborhoods of the identity of a topological group G with... whenever ... with ... is called a ...-base (a ...-base). The case when ... has been noticed for topological vector spaces (under the name of GG-base) at [2]. If X is a separable and metrizable space which is not Polish, the space Cc(X)Cc(X) has a ...-base but does not admit any GG-base. A topological group which is Fréchet–Urysohn is metrizable iff it has a Σ2Σ2-base of the identity.
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
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Project
<a href="/en/project/GF16-34860L" target="_blank" >GF16-34860L: Logic and Topology in Banach spaces</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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