Category Archives: News

Higher Trees Today. Part 0.

For the time being, the installments of the serial ‘Higher Trees Today’ will focus on three kinds of higher trees: Contractible Spaces of Choices (c.s.c.) Diestel–Oum decompositions (d.o.d.) Kalai trees (k.t.) Masbaum-Vaintrob trees (m.v.t.) Of course, while the latter three … Continue reading

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Compressing and summarizing. Part 3.

[Disclaimer: this a blog-post consciously written in the style adumbrated in Compressing and summarizing. Part 0. For the original, see https://arxiv.org/abs/1707.09400. Compression ratio here is high. ]   This recent preprint of Jørgen Bang-Jensen, Stéphane Bessy, Frédéric Havet, Anders Yeo … Continue reading

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Compressing and summarizing. Part 2.

[Disclaimer: this a blog-post consciously written in the style adumbrated in Compressing and summarizing. Part 0. For the original, see arXiv:1707.09005 [math.LO]. Compression ratio here is high. ] The recent preprint arXiv:1707.09005 of Michael Lieberman, Jiří Rosický, Sebastien Vasey is … Continue reading

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News in higher trees. Part 1.

Trees of all kinds are of fundamental importance.

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News in higher trees. Part 0.

Tree-like structures are of fundamental importance. Not least because of the important principle of independence of arbitrary choices up to a contractible space of choices which is ubiquitous in modern mathematics.  Higher trees are close to my heart for more … Continue reading

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