Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
brief category:people
-entry for hyperlinking references at equivariant cohomotopy
Because of the algebraic Kan complex entry I had a look at the simplicial T-complex page. I am not sure that the current page is quite right in its wording. It is a bit the age old problem of structure or properties. In the algebraic Kan complex, the filler choice function is part of the structure. In a T-complex the thin elements form part of the structure but then properties of the thin elements show that there is a unique choice function taking thin values. They then satisfy some equational conditions.
My thought would be that there should be a bit more precision on the differences between them. For instance I think it is true (but I would need to prove it in detail) that any simplicial T-complex gave an algebraic Kan complex, yielding an ’inclusion functor’ from SimpT to Alg Kan. That functor should have a left adjoint which kills off the Whitehead products etc, (that need not be trivial for an algebraic Kan complex but are for a simplicial T-complex). I do not see how to construct this explicitly but am sure there must be a simple way of imposing conditions on an alg. Kan complex and looking at ’varieties’ in that category. (I have not read Thomas’s thesis and he may have done something related to this already.) In other words, can one impose equations on alg. Kan complexes, in this way. The present definition is more or less the free algebras case (?).
Before altering the simp. T-complex page, I thought it worth asking this question of ’varieties’ as the answer (if it is known) would influence how best to do the edit.
Thomas's guest post at cafe and his paper should maybe be reflected in entry infinity-category and other places in nlab where various "models" fro infinity categories are listed, as it should have a very important role in my opinion, but still better experts should do carefully these changes. I might give a slightly uninformed interepretation of the role of this work in comparison to the experts like Mike.
brief category:people
-entry for hyperlinking references at
started a minimum at M-wave
(I was after the kind of statement as cited by Chu-Isono there, but have added now a minimum of the background literature, too).
brief category:people
-entry for hyperlinking references at equivariant differential topology
stub for Poincare lemma
some minimum, on occasion of today’s
brief category:people
-entry for hyperlinking references at LHC and leptoquark
I am starting Deformation Theory
in the course of this I so far added links and an extra secton to Kähler differential and links to and from cotangent complex.
brief category:people
-entry for hyperlinking references at cosmic censorship hypothesis and weak gravity conjecture
I decided that nLab is probably a better place to develop my ideas than ‘wikipedia’, where I posted one article on this topic but never felt confident to add more, since wikipedia is not really meant for ’ongoing research’. I really liked the idea of using this space for ’public notes on my research’ and am looking forward to getting reactions from some of you.
As a starter, I feel that using the first-person form in my reporting is more ’honest’ regarding the academic status of the piece. Prefix orders are not an accepted notion in literature yet, I think. The notion itself is used often, but always in a specific context and was (as far as I know) never generalized - until now…
Pieter Cuijpers
brief category:people
-entry for hyperlinking references at
added pointer to section 7.5 of
added hyperlinks to the text at induced representation. Made sure that it is cross-linked with Frobenius reciprocity.
brief category:people
-entry for hyperlinking references at characteristic class of a linear representation
brief category:people
-entry for hyperlinking references at characteristic class of a linear representation
slightly expanded the text, realizing more cross-links to existing entries (such as black body radiation). But this and related entries still remain stubs.
created a bare minimum at sharp map
added pointer to
some minimum, currently so as to record
started some minimum, to satisfy links
same comment applies as I just made at chemical element:
added pointer to
For a while I thought that this proposal is completely crazy. But in view of the established success of Skyrmion models for atomic nuclei and in particular with these viewed within the Sakai-Sugimoto model, it doesn’t seem completely crazy anymore. I still think it must be admitted that the concrete evidence that there is an actual model of nuclie by complex surfaces is extremely weak and very vague, but I can see now why it is interesting and maybe even tantalizing.
changed page name to singluar
added mentioning of atomic number
added pointer to
For a while I thought that this proposal is completely crazy. But in view of the established success of Skyrmion models for atomic nuclei and in particular with these viewed within the Sakai-Sugimoto model, it doesn’t seem completely crazy anymore. I still think it must be admitted that the concrete evidence that there is an actual model of nuclie by complex surfaces is extremely weak and very vague, but I can see now why it is interesting and maybe even tantalizing.
brief category:people- entry
for hyperlinking references at statistical significance, flavour anomaly