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• brief category:people-entry for hyperlinking references

• starting something, to record Prop. 7.6 in

• Alberto Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni, Configuration spaces and Vassiliev classes in any dimension, Algebr. Geom. Topol. 2 (2002) 949-1000 (arXiv:math/9910139)

still need to add details – not done yet

• I thought this should be better developed, and it is. Following the work of Sundholm and Ranta, several people are trying to use dependent type theory to understand natural language. This involves a range of things philosophers care about: anaphora, polysemy, modality, factivity, etc.

It should be interesting to bring this work into contact with the work here on dependent type theory in mathematics and physics. Already I see an overlap in the analysis of modality via a type of worlds, between us here and them in Resolving Modal Anaphora in Dependent Type Semantics on p. 89.

So I’ve started a page dependent type theoretic methods in natural language semantics to list references, and later results.

• I keep having the need to point to something like mass gap problem. So now I created a stub for it, just so that the links works. Has to be expanded, clearly.

• starting something on weight systems (in the sense of knot theory), not done yet

• Thomas Holder has been working on Aufhebung. I have edited the formatting a little (added hyperlinks and more Definition-environments, added another subsection header and some more cross-references, cross-linked with duality of opposites).

• I gave the entry super vector space some expositional background and a more detailed (pedantic) definition.

• added more “selected writings”, more hyperlinks to keywords; gave the references temporal ordering, and disentangled publications from other links and pointers

• Add a reference for string diagrams in closed monoidal categories

Anonymous

• starting some minimum

• starting a small entry here, for ease of hyperlinking. This is to go along with metric Lie algebra

• added some actual text to the category:people entry Roger Penrose

• I was looking for a place to record a somewhat more global overview of the notion of locally presentable category, its related notions and its generalizations to higher category theory. But somehow all of the existing entries feel too narrow in focus to accomodate this. So I ended up creating now a new entry titled

Think of this as accomodating material such as one might present in a seminar talk that is meant to bring people with some basic background up to speed with the relevant notions, without going into the wealth of technical lemmas.

I only just started. Will continue in a moment after a short break…

• Started writing down the definition.

• brief category:people-entry for hyperlinking references

• brief category:people-entry for hyperlinking references at M2-brane 3-algebra

Mike: Perhaps it would be more accurate to say that the symmetry axiom gives us enriched $\dagger$-categories?
Toby: Yeah, that could work. I was thinking of arguing that it makes sense to enrich groupoids in any monoidal poset, cartesian or otherwise, since we can write down the operations and all equations are trivial in a poset. But maybe it makes more sense to call those enriched $\dagger$-categories.