nLab John Isbell

• Wikipedia entry

• MathGenealogy page

• K.D. Magill, Jr., An Interview with John Isbell (web)

• Melvin Henriksen, John Isbell 1931-2005 Obituary (web)

• F. W. Lawvere, John Isbell’s Adequate Subcategories (web)

Selected writings

Introducing the notion that came to be known as Isbell duality (and discussing foundations for category theory via a kind of Grothendieck universes):

• John Isbell, Structure of categories, Bulletin of the American Mathematical Society 72 (1966), 619-655. [[euclid:1183528163](http://projecteuclid.org/euclid.bams/1183528163), ams:1966-72-04/S0002-9904-1966-11541-0]

• John Isbell, Normal completions of categories, Reports of the Midwest Category Seminar, 47, Springer (1967) 110-155 [[doi:10.1007/BFb0074302](https://doi.org/10.1007/BFb0074302)]

On large cocompleteness:

• John Isbell. Small subcategories and completeness. Mathematical systems theory 2 1 (1968) 27-50 [[doi:10.1007/BF01691344](https://doi.org/10.1007/BF01691344)]

On the theory of locales (and introducing that term):

• John R. Isbell, Atomless Parts of Spaces, Mathematica Scandinavica 31 (1972) 5–32 [[doi:10.7146/math.scand.a-11409](https://doi.org/10.7146/math.scand.a-11409)]

On functorial semantics:

• John Isbell, General functorial semantics, I, American Journal of Mathematics 94.2 (1972) 535-596 [[doi:10.2307/2374638](https://doi.org/10.2307/2374638), jstor:2374638]

• John Isbell, Top and its adjoint relatives, General Topology and Its Relations to Modern Analysis and Algebra (1971) 143-154 [[eudml:221076](https://eudml.org/doc/221076)]

Related entries

• Isbell duality

• concrete category