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- W4293765441 abstract "This short note, prepared for the Logic Colloquium 2014, provides an introduction to Davies-trees and presents new applications in infinite combinatorics. In particular, we give new and simple proofs to the following theorems of P. Komj'ath: every $n$-almost disjoint family of sets is essentially disjoint for any $nin mathbb N$; $mathbb R^2$ is the union of $n+2$ clouds if the continuum is at most $aleph_n$ for any $nin mathbb N$; every uncountably chromatic graph contains $n$-connected uncountably chromatic subgraphs for every $nin mathbb N$." @default.
- W4293765441 created "2022-08-31" @default.
- W4293765441 creator A5072335890 @default.
- W4293765441 date "2014-07-14" @default.
- W4293765441 modified "2023-09-26" @default.
- W4293765441 title "Davies-trees in infinite combinatorics" @default.
- W4293765441 doi "https://doi.org/10.48550/arxiv.1407.3604" @default.
- W4293765441 hasPublicationYear "2014" @default.
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