Cardinal invariants of monotone and porous sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00192533" target="_blank" >RIV/68407700:21110/12:00192533 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2178/jsl/1327068697" target="_blank" >http://dx.doi.org/10.2178/jsl/1327068697</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2178/jsl/1327068697" target="_blank" >10.2178/jsl/1327068697</a>

Result language
angličtina
Original language name
Cardinal invariants of monotone and porous sets
Original language description
A metric space (X, d) is monotone if there is a linear order < on X and a constant c such that d(x, y)<c d(x, z) for all x < y < z in X. We investigate cardinal invariants of the sigma-ideal Mon generated by monotone subsets of the plane. Since there isa strong connection between monotone sets in the plane and porous subsets of the line, plane and the Cantor set, cardinal invariants of these ideals are also investigated. In particular, we show that non(Mon) > sigma-linked, but non(Mon) < sigma-centeredis consistent. Also cov(Mon) < c and cof(N) < cov(Mon) are consistent.
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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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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