
Recent Posts
Recent Comments
Archives
Categories
 Category Theory
 compressing and summarizing
 digraph theory
 expository
 felicities
 gnarliness
 hazardousnesses
 Higher trees
 infelicities
 Kalai trees
 kindofacycle
 logic
 mathematical aphorisms
 Mathematics
 News
 Olds
 Research
 Silviculture
 Simplicial complexes
 Structure theory
 Technology.
 Uncategorized
 Vignettes.
Meta
Category Archives: Research
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 12.
Did you know that mathematics will provide you with moreorless standardized tools to usefully express commonlyoccurring ideas? For exaple, the following illustration contains at least three examples of this: (0) the symbol for boundaries of things, the symbol to symbolize … Continue reading
Posted in digraph theory, expository, Mathematics, Olds, Research, Technology.
Leave a comment
Compressing and summarizing. Part 3.
[Disclaimer: this a blogpost 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 BangJensen, Stéphane Bessy, Frédéric Havet, Anders Yeo … Continue reading
Compressing and summarizing. Part 2.
[Disclaimer: this a blogpost 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
Posted in compressing and summarizing, Mathematics, News, Research
Leave a comment
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
Leave a comment
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
Leave a comment
Mathematical Aphorisms. Part 0.
In Constructive Mathematics, proofbyexhaustion is not in general exhaustive, though often still exhausting.