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.
quick note on self-dual Yang-Mills theory
I added a proposition to this subsection which seems valid intuitionistically, but I wouldn’t mind a reality check from someone.
As a kind of supplement to Urs’s running topology series, I wrote an article colimits of normal spaces. Mainly I had wanted to write down a reasonably clean proof of the fact that CW-complexes are T4 spaces, in particular Hausdorff, as called for on the page CW-complexes are paracompact Hausdorff spaces, but working in slightly greater generality. There are a whole bunch of links to stick in, which I plan to get to.
This page has taken me longer than I had first anticipated. Only after some struggle and reading around did I discover the power of the Tietze characterization of normality, which can be used to give a simple proof of the following general fact:
If X,Y,Z are normal and if h:X→Z is a closed embedding and f:X→Y a continuous map, the attachment space = pushout W=Y∪XZ is also normal.
This doesn’t seem so easy to prove with one’s bare hands (i.e., just using the usual definition of normality and reasoning away)!
Urs, after recent discussion with Richard about paracompactness, where do matters stand on the page CW-complexes are paracompact Hausdorff spaces? It would be nice to tie up whatever loose ends are still left hanging there.
I added some references to continuation-passing style, as well as a big rambling Idea section.
brief category:people-entry for hyperlinking references at Higgs field, flavour anomaly, and asymptotic safety (or not).
added two more properties to the list of properties of nerves of categories at nerve
I have splitt off from classifying topos an entry classifying topos for the theory of objects and added the statement about the relation to finitary monads.
brief category:people entry for hyperlinking references at super Riemann surface
brief category:people-entry for the purpose of hyperlinking references at equivariant cohomotopy
Created code loop.
brief category:people-entry for hyperlinking references at AdS-CFT duality and elsewhere
discovered by chance that we have this stub entry here. Added some lines of an Idea-section and cross-linked with thermal quantum field theory and Wick rotation
brief category:people-entry for hyperlinking references at thermal field theory
brief category:people-entry for hyperlinking references at Euclidean field theory and lattice gauge theory
a stub, just to finally make that link at compactification work
brief category:people-entry for hyperlinking references at Feynman amplitude on compactified configuration space of points
brief category:people-entry for hyperlinking references at resolution of singularities
brief category:people-entry for hyperlinking references at Feynman amplitudes on compactified configuration spaces of points and at wonderful compactification
brief category:people entry for hyperlinking references at configuration space of points and little n-disk operad