This site is supported by donations to The OEIS Foundation.



Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A111788 Order of the domain D_n (n >= 0) in the inverse limit domain D_infinity. 2
2, 3, 10, 120549 (list; graph; refs; listen; history; text; internal format)



D_infinity is the limit of the sequence of domains D_n that constitute the minimal nontrivial solution to the requirements that D_0 be a continuous lattice containing at least two elements and that D_(n+1) be the space of functions from D_n to D_n.


J. G. Sanderson, The Lambda Calculus, Lattice Theory and Reflexive Domains, Mathematical Institute Lecture Notes, University of Oxford, 1973.

D. S. Scott, Continuous Lattices, pp. 97-136 in F. W. Lawvere (ed.), Toposes, Algebraic Geometry and Logic, Springer-Verlag, Berlin, 1972.

J. E. Stoy, Denotational Semantics: The Scott-Strachey Approach to Programming Language Theory, MIT Press, Cambridge, MA, 1977, pp. 113-115.


Table of n, a(n) for n=0..3.


Sequence in context: A128125 A070239 A002443 * A238455 A098929 A073098

Adjacent sequences:  A111785 A111786 A111787 * A111789 A111790 A111791




Jon Awbrey, Aug 16 2005



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 11 07:31 EST 2019. Contains 329914 sequences. (Running on oeis4.)