Weak partition properties on trees

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10172734" target="_blank" >RIV/00216208:11320/13:10172734 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00153-013-0331-1" target="_blank" >http://dx.doi.org/10.1007/s00153-013-0331-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00153-013-0331-1" target="_blank" >10.1007/s00153-013-0331-1</a>

Result language
angličtina
Original language name
Weak partition properties on trees
Original language description
We investigate the following weak Ramsey property of a cardinal.: If. is coloring of nodes of the tree kappa(<omega) by countably many colors, call a tree T subset of kappa(<omega) chi-homogeneous if the number of colors on each level of T is finite. Write kappa (sic) (lambda)(omega)(<omega) to denote that for any such coloring there is a chi-homogeneous lambda-branching tree of height omega. We prove, e.g., that if kappa < p or kappa > partial derivative is regular, then kappa (sic) (kappa)(omega)(<omega) and that b (sic) ( b)(omega)(<omega) and partial derivative (sic) (partial derivative)(omega)(<omega) . The arrow is applied to prove a generalization of a theorem of Hurewicz: A C. ech- analytic space is s- locally compact iff it does not contain aclosed homeomorphic copy of irrationals.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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