On separable determination of sigma-P-porous sets in Banach spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317070" target="_blank" >RIV/00216208:11320/15:10317070 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2014.11.005" target="_blank" >http://dx.doi.org/10.1016/j.topol.2014.11.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2014.11.005" target="_blank" >10.1016/j.topol.2014.11.005</a>

Result language
angličtina
Original language name
On separable determination of sigma-P-porous sets in Banach spaces
Original language description
We use a method involving elementary submodels and a partial converse of Foran lemma to prove separable reduction theorems concerning Souslin ?-P-porous sets where P can be from a rather wide class of porosity-like relations in complete metric spaces. Inparticular, we separably reduce the notion of Souslin cone small set in Asplund spaces. As an application we prove that a continuous approximately convex function on an Asplund space is Fréchet differentiable up to a cone small set.
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%2F0436" target="_blank" >GAP201/12/0436: Theory of Real Functions and Descriptive Set Theory III</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach<br>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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