This Week in Mathematics


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Entries for this week: 4

Tuesday December 02, 2025

Geometry and Topology [url]
A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space (Joint with J. Bowers)
- Phil Bowers, FSU
Time: 3:05 Room: 231
More Information
Abstract/Desc: A standard tool in metric geometry is Menger's 1928 result that characterizes those abstract metric spaces that admit an isometric embedding into the n-dimensional Euclidean space. Menger's proof was rather abstract as he translated the embedability problem into abstarct logic and gave a rather opaque explanation of his result. In 2015, J. Bowers and I revisited Manger's characterization and produced an elementary geometric proof that offered insight into its tightness. In this talk, I will review Menger's result and give a beautiful characterization of those spaces that nearly, but do not quite embed isometrically. Time permitting, I will describe our recent extension of Menger's result to the realization of point sets in Minkowski space and use this to get Menger-type embedabilty theorems for point and hyperplane sets in hyperbolic space, disks sets in the sphere, and point sets in de Sitter space.

Wednesday December 03, 2025

Biomathematics Journal Club
Dynamic Cluster Field Modeling of Collective Chemotaxis
- Dana Hughes, FSU
Time: 5:00 Room: Dirac Library

Thursday December 04, 2025

Algebra seminar
TBA
- Arash Karimi, FSU
Time: 3:05pm Room: LOV 0231
Abstract/Desc: TBA

Financial Math
TBD
- Ahmer Nadeem Khan, Florida State University
Time: 3.05 Room: 105

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Department of Mathematics

This Week in Mathematics