Instructors:
Graduate Mentors:Martha Gregg (s-mgregg1), Kris Lund (s-klund1), Lori McDonnell (s-lmcdonn1), Jeremy Parrott (s-jparrot2)(All email addresses end with @math.unl.edu ) Research Papers:Focus Paper:Ohta, H. and Ono, J., The unique midpoint property of a subspace of the real line Topology and its Applications, Volume 104, Issues 1-3, 215-226. Supporting Paper: Berard, Anthony D., Jr. Characterizations of metric spaces by the use of their midsets: Intervals. Fundamenta Mathematicae 73 (1971/72), no. 1, 1--7. Course Handouts and Material:
SolutionsMany thanks go to students and graduate mentors for writing, tex-ing and checking solutions!Solutions to the topology problems are here. Solutions to the metric space problems are here. One solution to the isometry problem (#21 in metric spaces problem list) is in the paper On Isometries of Euclidean spaces by F. S. Beckman and D. A. Quarles, Jr. in Proceedings of the American Mathematical Society, Vol 4, No. 5. (Oct 1953), pp 810-815. Another solution is in The Mathematical Intelligencer, Vol 10, No 4, 1988, p. 47. |