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YCor
YCor
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Elementary Submodelssubmodels in Partitions Theoremspartitions theorems

I'am reading the paper Elementary Submodels in Infinite Combinatorics fromElementary submodels in infinite combinatorics by Soukup (http://eprints.renyi.hu/45/1/elementary_submodels_revised.pdfarXiv link) and there are a lot of proofs using elementary submodels, such as the proof of Delta$\Delta$-Systemsystem lemma and partitions theorems. However, I don't take the intuition and I would like more examples of the applications of elementary submodels. Anyone knows goods references for it in infinite combinatorics, specially in Partition Theorypartition theory?

Thanks.

Elementary Submodels in Partitions Theorems

I'am reading the paper Elementary Submodels in Infinite Combinatorics from Soukup (http://eprints.renyi.hu/45/1/elementary_submodels_revised.pdf) and there are a lot of proofs using elementary submodels, such as the proof of Delta-System lemma and partitions theorems. However, I don't take the intuition and I would like more examples of the applications of elementary submodels. Anyone knows goods references for it in infinite combinatorics, specially in Partition Theory?

Thanks.

Elementary submodels in partitions theorems

I'am reading the paper Elementary submodels in infinite combinatorics by Soukup (arXiv link) and there are a lot of proofs using elementary submodels, such as the proof of $\Delta$-system lemma and partitions theorems. However, I don't take the intuition and I would like more examples of the applications of elementary submodels. Anyone knows goods references for it in infinite combinatorics, specially in partition theory?

Thanks.

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Hugo Rafael Oliveira Ribeiro
Hugo Rafael Oliveira Ribeiro
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Elementary Submodels in Partitions Theorems

I'am reading the paper Elementary Submodels in Infinite Combinatorics from Soukup (http://eprints.renyi.hu/45/1/elementary_submodels_revised.pdf) and there are a lot of proofs using elementary submodels, such as the proof of Delta-System lemma and partitions theorems. However, I don't take the intuition and I would like more examples of the applications of elementary submodels. Anyone knows goods references for it in infinite combinatorics, specially in Partition Theory?

Thanks.