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Category Archives: Higher trees
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.) MasbaumVaintrob trees (m.v.t.) Of course, while the latter three … Continue reading
Vignettes. Part 5.
Arguably the simplest nontrivial example of an unlabelled simple undirected graph which is not reconstructible from its vertexdeleted subgraphs is the regular tree, illustrated in parts by Needfull to say: that you only see five neighbors at each vertex is … Continue reading
Posted in expository, Higher trees, Mathematics, Olds, Research
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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 umbrellaterm higher trees for object of any reasonable category which admits a reasonable forgetful … Continue reading
Posted in Higher trees, Mathematics, News, Research
Tagged DiestelOumdecompositions
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News in higher trees. Part 0.
Treelike 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
Posted in gnarliness, Higher trees, Kalai trees, Mathematics, News, Research, Simplicial complexes
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