Document Type
Course Materials
Publication Date
Summer 2017
Abstract
In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right" definitions in order to make this work. In this mini PSP, we work through Frechet's entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet's newly coined term, are compact.
Applicable Math Courses
topology, analysis
Academic Division
Upper Division Undergraduate
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Recommended Citation
Scoville, Nicholas A., "A Compact Introduction to a Generalized Extreme Value Theorem" (2017). Topology. 5.
https://digitalcommons.ursinus.edu/triumphs_topology/5
Included in
Curriculum and Instruction Commons, Educational Methods Commons, Geometry and Topology Commons, Higher Education Commons, Science and Mathematics Education Commons
