nLab Robert Raphael (changes)

Showing changes from revision #6 to #7: Added | Removed | Changed

• institute page

• MathGenealogy page

Selected writings

In On Isbell product duality spaces for with modules Lindelöf topological spaces:

• Michael Barr, John Kennison, Robert Raphael, On productively Lindelöf spaces, Scient. Math. Japon. 65 (2007) 23–36 [[pdf](https://www.math.mcgill.ca/barr/papers/alster.pdf), pdf]

In Isbell duality:

• Michael Barr, John Kennison, Robert Raphael, Isbell Duality Theory and Applications of Categories 20 15 (2008) 504-542 [[tac:20-15](http://www.tac.mta.ca/tac/volumes/20/15/20-15abs.html)]

and specifically for modules:

• Michael Barr, John Kennison, Robert Raphael, Isbell duality for for modules, Theory and Applications of Categories 22 17 (2009) 401-419 [[tac:22-17](http://www.tac.mta.ca/tac/volumes/22/17/22-17abs.html), pdf]

On discrete dynamical systems (here called “flows”) on compact Hausdorff spaces:

• Michael Barr, John Kennison, Robert Raphael, Flows: cocyclic and almost cocyclic, Theory Appl. Categories 25 18 (2010) 490–507 [[tac:25-18](http://www.tac.mta.ca/tac/volumes/25/18/25-18abs.html)]

On coherent spaces:

• Michael Barr, John Kennison, Robert Raphael, Countable meets in coherent spaces with applications to the cyclic spectrum, Theory Appl. Categories 25 19 (2011), 508–232 [[tac:25-19](http://www.tac.mta.ca/tac/volumes/25/19/25-19abs.html)]

On injective hulls of partially ordered monoids:

• Joachim Lambek, Michael Barr, John Kennison, Robert Raphael, Injective hulls of partially ordered monoids, Theory Appl. Categories 26 13 (2012) 338–348 [[tac:16-13](http://www.tac.mta.ca/tac/volumes/26/13/26-13abs.html)]

On star-autonomous categories of sup-semilattices:

• Michael Barr, John Kennison, Robert Raphael, The $\ast$-autonomous category of uniform sup semi-lattices, Theory & Applications of Categories 27 11 (2012) 222–241 [[tac:27-11](http://www.tac.mta.ca/tac/volumes/27/11/27-11abs.html)]

On limits of integral domains among commutative rings:

• Michael Barr, John Kennison, Robert Raphael, Limit closures of classes of commutative rings, Theory Appl. Categories 30 (2015) 229–304 [[tac:30-08](http://www.tac.mta.ca/tac/volumes/30/8/30-08abs.html), pdf]

On reflective and coreflective subcategories:

• Michael Barr, John Kennison, Robert Raphael, On reflective and coreflective hulls, Cahiers Topologie Géométrie Différentielle Catégorique 56 (2015) 162–208 [[pdf](https://www.math.mcgill.ca/barr/papers/biref.pdf), pdf]

On contractibility of simplicial objects:

• Michael Barr, John Kennison, Robert Raphael, Contractible simplicial objects, Comm. Math. Univ. Carol. 60 4 (2019) 473–495 [[pdf](https://math.mcgill.ca/barr/papers/cso.pdf), eudml:295068]

On coequalizers and free monads:

• Michael Barr, John Kennison, Robert Raphael, Coequalizers and free triples, II, Theory Appl. Categories 34 (2019) 662–683 [[tac:34-23](http://www.tac.mta.ca/tac/volumes/34/23/34-23abs.html)]