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Moving on up a dimension, now let's look at the A3 lattice. This arises naturally from the group SU(4), but you've also seen it in grocery stores if you ever paid attention to stacks of oranges. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

The 'field with one element' has been honoured by a great accolade. As announced here, it has been awarded a blog all to itself. Not bad for an entity with dubious existence credentials.... david http://www.dcorfield.pwp.blueyonder.co.uk/ d.corfield@kent.ac.uk

More questions on model category theory in general and the model structure on omega-categories in particular. urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de

Some thoughts on mathematical reality as pieces of mathematics inevitably encountered in different ways. david http://www.dcorfield.pwp.blueyonder.co.uk/ d.corfield@kent.ac.uk

A tentative suggestion for weak oo-categories. urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de

Some lecture notes for a class on Hilbert spaces, self-adjoint operators, and their applications to quantum theory. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

The beginning of a course on Lie theory through examples. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

This October, the annual Canadian conference on categories will be at Concordia University in Montreal. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

The model structure on omega-categories should induce a model structure on omega-category valued presheaves. What can be said about this? urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de

Short essays by Beno Eckmann david http://www.dcorfield.pwp.blueyonder.co.uk/ d.corfield@kent.ac.uk

Question on simplicial group cocycles. urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de

A list of things to read. urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de

Weinstein's generalisation of the Baez-Dolan groupoid cardinality concept to stacks. david http://www.dcorfield.pwp.blueyonder.co.uk/ d.corfield@kent.ac.uk

A talk on special properties of the number 5. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

A talk on my favorite number of all: 24. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

On planar algebras interpreted as 2D TFTs with defect lines. urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de

You can help review some more papers for Bob Coecke's New Structures for Physics. john http://math.ucr.edu/home/baez/ baez@math.ucr.edu

Workshop announcement and an enquiry about a reference made by Saunders Mac Lane david http://www.dcorfield.pwp.blueyonder.co.uk/ d.corfield@kent.ac.uk

A response to an article on the unreliability of the mathematical literature. david http://www.dcorfield.pwp.blueyonder.co.uk/ d.corfield@kent.ac.uk

What is the right definition of generalized smooth differential graded-commutative algebras? urs http://www.math.uni-hamburg.de/home/schreiber urs.schreiber@math.uni-hamburg.de