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

The result's identifiers

  • 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>

Alternative languages

  • 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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Topology and its Applications

  • ISSN

    0166-8641

  • e-ISSN

  • Volume of the periodical

    180

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    21

  • Pages from-to

    64-84

  • UT code for WoS article

    000348965700004

  • EID of the result in the Scopus database

    2-s2.0-84911940881