Physical Sciences and Mathematics Commons^™

Scs 22: Representations Of Colimits In Cl, Part I, Gerhard Gierz

Seminar on Continuity in Semilattices

No abstract provided.

Scs 21: ≤ (N), James H. Carruth, Charles E. Clark, E. L. Evans, James W. Lea, R. L. Wilson

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 20: More On The Coproduct. Errata And Addenda, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Letter Dated October 13, 1976 To Jimmie D. Lawson, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Accompanied by October 5, 1976 memo by Gerhard Gierz and Klaus Keimel.

An Error In The Copower Considerations, Gerhard Gierz, Klaus Keimel

Seminar on Continuity in Semilattices

Accompanies October 13, 1976 letter from Karl Heinrich Hofmann to Jimmie D. Lawson.

Scs 19: Several Remarks, Klaus Keimel, Michael Mislove

Seminar on Continuity in Semilattices

Contents:

1. The closed subsemilattices of a continuous lattice form a continuous lattice
2. When do the prime elements of a distributive lattice form a closed subset
3. Remarks on lower semicontinuous function spaces
4. Remarks on the continuity of the congruence lattice of the continuous lattice

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 18: Continuous Lattices And Universal Algebra, Alan Day

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 17: The Space Of Lower Semicontinuous Functions Into A Cl-Object, Applications (Part I): Copowers In Cl, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Correction to scan at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 16: The Random Unit Interval (Another Example Of A Cl-Object), Karl Heinrich Hofmann, John R. Liukkonen

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 15: Continuous Lattices And Universal Algebra, Dana S. Scott

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 14: Scs Memo Of Lawson Dated 7-12-76, Michael Mislove

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 13: Complements To Relations With The Interpolation Properties And Continuous Lattices, Klaus Keimel

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 11: Errata And Corrigenda To Memo "Commentary On Scott's Function Spaces", Karl Heinrich Hofmann, Michael Mislove

Seminar on Continuity in Semilattices

Corrections to version dated 7/20/76 at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Version dated 7/20/76 is in supplemental files.

Scs 12: Relations With The Interpolation Property And Continuous Lattices, Gerhard Gierz, Karl Heinrich Hofmann, Klaus Keimel, Michael Mislove

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 10: Points With Small Semilattices, Jimmie D. Lawson

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 9: Commentary On Scott's Function Spaces, Karl Heinrich Hofmann, Michael Mislove

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 8: On The Theorem Of Lawson's That All Compact Locally Connected Finite Dimensional Semilattices Are Cl, Karl Heinrich Hofmann, Michael Mislove

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 7: Still More Notes On Chains In Cl-Objects, James H. Carruth

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 6: More Notes On Chains In Cl-Objects, James H. Carruth, Charles E. Clark, J. Winston Crawley, E. L. Evans, R. L. Wilson

Seminar on Continuity in Semilattices

No abstract provided.

Scs 5: Notes On Chains In Cl-Objects, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 4: Note On Continuous Lattices, Dana S. Scott

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 3: Equationally Compact Sendos Are Retracts Of Compact Ones, Klaus Keimel, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Memo by Klaus Keimel, with a Remark by K.H. Hofmann, February 10, 1976.

Scs 1: More Notes On Spread, Jimmie D. Lawson

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Scs 2: Notes On Notes By Jdl (Concerning What He Calls The 'Spread'), Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html

Irrational Numbers And Reality, Arnold H. Veldkamp

Pro Rege

No abstract provided.

What Is Number?, Willis J. Alberda

Pro Rege

No abstract provided.

Faces, Edges, Vertices Of Some Polyhedra, Charles H. Harbison

Journal of the Arkansas Academy of Science

A proof that: for any given polyhedron so shaped that every closed non-self intersecting broken line composed of edges of the polyhedron divides the surface of the polyhedron into precisely two disjoint regions each of which is bounded by the closed broken line, v - e + f = 2, where v is the number of vertices of the polyhedron, e the number of edges and f the number of faces.

Simple Algebraic Extensions And Characteristics Polynomials, Don Stokes

Journal of the Arkansas Academy of Science

No abstract provided.

Exact Test For Simple Correlation In Analysis Of Dispersion, James E. Dunn

Journal of the Arkansas Academy of Science

No abstract provided.

Experimental Design Models, J. Leroy Folks

Journal of the Graduate Research Center

If we were to assume a linear relationship between x and y described by the model y = a + βx + e it is unlikely that we would consider writing the model as y = a + bx + cx + e. It is even more unlikely that we would apply the least squares principle by minimizing Σe2 with respect to a, b, and c. Yet a similar thing happens in experimental design. In fact, it is common practice to use less than full-rank models where the parameters are not defined and, in cases where they are defined, to …