Category Theory Resources/Links
Here are some things I’ve come across. I think, especially with category theory, that it’s vitally important to see the subject tackled from as many angles as possible (for instance, the computer-science perspective on limits and colimits cleared a lot of things up for me). Note that this list is constantly being chopped and changed as I come across new stuff. If you have any recommendations of things to add, I’m always open to suggestions. I don’t think it’s toooo necessary to give a comment on any of the links, you should be able to evaluate them all yourself pretty quickly.
texts/notes:
http://citeseer.ist.psu.edu/487012.html
http://www.math.uni-bremen.de/~dmb/acc.pdf http://www.cs.toronto.edu/~sme/presentations/cat101.pdf
http://www.mathematik.tu-darmstadt.de/~streicher/CTCL.ps.gz
www.matem.unam.mx/~rafael/ documents/notes-categories.pdf
http://www.maths.gla.ac.uk/~tl/ct/
http://www.cs.cornell.edu/people/jcheney/papers/ct4d1.pdf
www.informatik.uni-bremen.de/~lschrode/freetour.ps
http://www.it-c.dk/~birkedal/teaching/category-theory-Fall-2000/basiccat.ps.gz
http://folli.loria.fr/cds/1999/library/pdf/barrwells.pdf
http://http://www.increpare.com/docs/categoryconstructions.pdf
www.brics.dk/~mcaccamo/catnotes.ps.gz
http://www.dcs.ed.ac.uk/home/dt/CT/
articles:
http://plato.stanford.edu/entries/category-theory/
http://citeseer.ist.psu.edu/goguen91categorical.html
http://www.univ-nancy2.fr/poincare/colloques/symp02/abstracts/hellman.pdf
http://www.math.mcgill.ca/rags/seminar/Landry.html
http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/0212377
http://arxiv.org/abs/math/0009145
http://arxiv.org/abs/math.QA/9802029
As applied/bastardised to other areas:
http://math.berkeley.edu/~gbergman/245/
http://math.ucr.edu/home/baez/README.html
http://www.math.rutgers.edu/hha/volumes/2005/n1a1/v7n1a1.pdf
www.cert.fr/francais/deri/wiels/Publi/ase98.ps
http://www.cwru.edu/artsci/math/wells/pub/ttt.html
http://www.math.uchicago.edu/~bds/stacksnotes.pdf
http://www.math.princeton.edu/~nelson/books/rept.pdf
http://www.tac.mta.ca/tac/reprints/articles/3/tr3abs.html
http://ieeexplore.ieee.org/iel5/6674/17970/00831545.pdf?arnumber=831545
http://xxx.lanl.gov/abs/gr-qc/9811053
http://publish.uwo.ca/~jbell/invitation%20to%20SIA.pdf
http://arxiv.org/abs/gr-qc/9910005
http://www.math.toronto.edu/~drorbn/classes/0102/AlgTop/CoveringsDoneRight.pdf
misc:
http://www.cs.le.ac.uk/people/ah83/cat-myths/
One Comment
How about a section on demonstrations? Here at http://www.j-paine.org/cgi-bin/webcats/webcats.php is a Web-based program I wrote that generates examples of products, equalisers, and other constructions in the category of sets. It’s great for actually getting down to details and seeing how these things work.