Injective objects and retracts of Fraisse limits

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00443127" target="_blank" >RIV/67985840:_____/15:00443127 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/forum-2012-0081" target="_blank" >http://dx.doi.org/10.1515/forum-2012-0081</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/forum-2012-0081" target="_blank" >10.1515/forum-2012-0081</a>

Result language
angličtina
Original language name
Injective objects and retracts of Fraisse limits
Original language description
We present a purely category-theoretic characterization of retracts of Fra?ssé limits. For this aim, we consider a natural version of injectivity with respect to a pair of categories (a category and its subcategory). It turns out that retracts of Fra?ssélimits are precisely the objects that are injective relatively to such a pair. One of the applications is a characterization of non-expansive retracts of Urysohn's universal metric space.
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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