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. The higher, the hollower, the hallower, the gnarlier, and, most importantly, the livelier they tend to be. I use an umbrella-term higher trees for object of any reasonable category which admits a reasonable forgetful … Continue reading

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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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